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Finding the Fourth Proportional to 108,542.40, 162,496.80 and 77,438.40

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Solution

The fourth proportional to 108,542.40, 162,496.80 and 77,438.40 is: 115,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,542.40 : 162,496.80 = 77,438.40 : x
  2. Step 2: Convert to fraction form
    108,542.40/162,496.80 = 77,438.40/x
  3. Step 3: Cross multiply
    108,542.40x = 162,496.80 × 77,438.40
  4. Step 4: Simplify right side
    108,542.40x = 12,583,492,197.12
  5. Step 5: Solve for x
    x = 12,583,492,197.12/108,542.40
  6. Step 6: Final answer
    x = 115,931.58

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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.