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Finding the Fourth Proportional to 354,071.28, 531,159.30 and 117,361.74

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Solution

The fourth proportional to 354,071.28, 531,159.30 and 117,361.74 is: 176,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,071.28 : 531,159.30 = 117,361.74 : x
  2. Step 2: Convert to fraction form
    354,071.28/531,159.30 = 117,361.74/x
  3. Step 3: Cross multiply
    354,071.28x = 531,159.30 × 117,361.74
  4. Step 4: Simplify right side
    354,071.28x = 62,337,779,665.18
  5. Step 5: Solve for x
    x = 62,337,779,665.18/354,071.28
  6. Step 6: Final answer
    x = 176,059.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.