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Finding the Fourth Proportional to 157,088.60, 235,554.28 and 78,246.44

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Solution

The fourth proportional to 157,088.60, 235,554.28 and 78,246.44 is: 117,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,088.60 : 235,554.28 = 78,246.44 : x
  2. Step 2: Convert to fraction form
    157,088.60/235,554.28 = 78,246.44/x
  3. Step 3: Cross multiply
    157,088.60x = 235,554.28 × 78,246.44
  4. Step 4: Simplify right side
    157,088.60x = 18,431,283,836.76
  5. Step 5: Solve for x
    x = 18,431,283,836.76/157,088.60
  6. Step 6: Final answer
    x = 117,330.50

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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.