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Finding the Fourth Proportional to 137,712.32, 190,024.72 and 77,280.64

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Solution

The fourth proportional to 137,712.32, 190,024.72 and 77,280.64 is: 106,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712.32 : 190,024.72 = 77,280.64 : x
  2. Step 2: Convert to fraction form
    137,712.32/190,024.72 = 77,280.64/x
  3. Step 3: Cross multiply
    137,712.32x = 190,024.72 × 77,280.64
  4. Step 4: Simplify right side
    137,712.32x = 14,685,231,977.42
  5. Step 5: Solve for x
    x = 14,685,231,977.42/137,712.32
  6. Step 6: Final answer
    x = 106,637.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.