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Finding the Fourth Proportional to 214,463.52, 295,969.38 and 118,970.34

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Solution

The fourth proportional to 214,463.52, 295,969.38 and 118,970.34 is: 164,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,463.52 : 295,969.38 = 118,970.34 : x
  2. Step 2: Convert to fraction form
    214,463.52/295,969.38 = 118,970.34/x
  3. Step 3: Cross multiply
    214,463.52x = 295,969.38 × 118,970.34
  4. Step 4: Simplify right side
    214,463.52x = 35,211,577,768.19
  5. Step 5: Solve for x
    x = 35,211,577,768.19/214,463.52
  6. Step 6: Final answer
    x = 164,184.46

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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.