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Finding the Fourth Proportional to 257,881.96, 386,641.50 and 99,977.32

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Solution

The fourth proportional to 257,881.96, 386,641.50 and 99,977.32 is: 149,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,881.96 : 386,641.50 = 99,977.32 : x
  2. Step 2: Convert to fraction form
    257,881.96/386,641.50 = 99,977.32/x
  3. Step 3: Cross multiply
    257,881.96x = 386,641.50 × 99,977.32
  4. Step 4: Simplify right side
    257,881.96x = 38,655,380,970.78
  5. Step 5: Solve for x
    x = 38,655,380,970.78/257,881.96
  6. Step 6: Final answer
    x = 149,895.64

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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.