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Finding the Fourth Proportional to 157,084.78, 235,474.88 and 62,284

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Solution

The fourth proportional to 157,084.78, 235,474.88 and 62,284 is: 93,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,084.78 : 235,474.88 = 62,284 : x
  2. Step 2: Convert to fraction form
    157,084.78/235,474.88 = 62,284/x
  3. Step 3: Cross multiply
    157,084.78x = 235,474.88 × 62,284
  4. Step 4: Simplify right side
    157,084.78x = 14,666,317,425.92
  5. Step 5: Solve for x
    x = 14,666,317,425.92/157,084.78
  6. Step 6: Final answer
    x = 93,365.62

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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.