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Finding the Fourth Proportional to 214,970.82, 296,657.58 and 119,475.60

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Solution

The fourth proportional to 214,970.82, 296,657.58 and 119,475.60 is: 164,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970.82 : 296,657.58 = 119,475.60 : x
  2. Step 2: Convert to fraction form
    214,970.82/296,657.58 = 119,475.60/x
  3. Step 3: Cross multiply
    214,970.82x = 296,657.58 × 119,475.60
  4. Step 4: Simplify right side
    214,970.82x = 35,443,342,365.05
  5. Step 5: Solve for x
    x = 35,443,342,365.05/214,970.82
  6. Step 6: Final answer
    x = 164,875.13

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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.