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Finding the Fourth Proportional to 92,050.40, 137,816.40 and 89,458.40

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Solution

The fourth proportional to 92,050.40, 137,816.40 and 89,458.40 is: 133,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,050.40 : 137,816.40 = 89,458.40 : x
  2. Step 2: Convert to fraction form
    92,050.40/137,816.40 = 89,458.40/x
  3. Step 3: Cross multiply
    92,050.40x = 137,816.40 × 89,458.40
  4. Step 4: Simplify right side
    92,050.40x = 12,328,834,637.76
  5. Step 5: Solve for x
    x = 12,328,834,637.76/92,050.40
  6. Step 6: Final answer
    x = 133,935.70

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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.