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Finding the Fourth Proportional to 214,587.54, 296,117.01 and 119,094.30

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Solution

The fourth proportional to 214,587.54, 296,117.01 and 119,094.30 is: 164,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,587.54 : 296,117.01 = 119,094.30 : x
  2. Step 2: Convert to fraction form
    214,587.54/296,117.01 = 119,094.30/x
  3. Step 3: Cross multiply
    214,587.54x = 296,117.01 × 119,094.30
  4. Step 4: Simplify right side
    214,587.54x = 35,265,848,024.04
  5. Step 5: Solve for x
    x = 35,265,848,024.04/214,587.54
  6. Step 6: Final answer
    x = 164,342.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.