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Finding the Fourth Proportional to 304,200.16, 456,344.25 and 93,854.50

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Solution

The fourth proportional to 304,200.16, 456,344.25 and 93,854.50 is: 140,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,200.16 : 456,344.25 = 93,854.50 : x
  2. Step 2: Convert to fraction form
    304,200.16/456,344.25 = 93,854.50/x
  3. Step 3: Cross multiply
    304,200.16x = 456,344.25 × 93,854.50
  4. Step 4: Simplify right side
    304,200.16x = 42,829,961,411.63
  5. Step 5: Solve for x
    x = 42,829,961,411.63/304,200.16
  6. Step 6: Final answer
    x = 140,795.33

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