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Finding the Fourth Proportional to 91,938.40, 138,037.20 and 56,946.40

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Solution

The fourth proportional to 91,938.40, 138,037.20 and 56,946.40 is: 85,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,938.40 : 138,037.20 = 56,946.40 : x
  2. Step 2: Convert to fraction form
    91,938.40/138,037.20 = 56,946.40/x
  3. Step 3: Cross multiply
    91,938.40x = 138,037.20 × 56,946.40
  4. Step 4: Simplify right side
    91,938.40x = 7,860,721,606.08
  5. Step 5: Solve for x
    x = 7,860,721,606.08/91,938.40
  6. Step 6: Final answer
    x = 85,499.87

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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.