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Finding the Fourth Proportional to 159,114.38, 238,652.13 and 65,607.98

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Solution

The fourth proportional to 159,114.38, 238,652.13 and 65,607.98 is: 98,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,114.38 : 238,652.13 = 65,607.98 : x
  2. Step 2: Convert to fraction form
    159,114.38/238,652.13 = 65,607.98/x
  3. Step 3: Cross multiply
    159,114.38x = 238,652.13 × 65,607.98
  4. Step 4: Simplify right side
    159,114.38x = 15,657,484,172.00
  5. Step 5: Solve for x
    x = 15,657,484,172.00/159,114.38
  6. Step 6: Final answer
    x = 98,403.95

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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.