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Finding the Fourth Proportional to 157,281.46, 217,256.14 and 116,528.38

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Solution

The fourth proportional to 157,281.46, 217,256.14 and 116,528.38 is: 160,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,281.46 : 217,256.14 = 116,528.38 : x
  2. Step 2: Convert to fraction form
    157,281.46/217,256.14 = 116,528.38/x
  3. Step 3: Cross multiply
    157,281.46x = 217,256.14 × 116,528.38
  4. Step 4: Simplify right side
    157,281.46x = 25,316,506,039.25
  5. Step 5: Solve for x
    x = 25,316,506,039.25/157,281.46
  6. Step 6: Final answer
    x = 160,963.07

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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.