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Finding the Fourth Proportional to 97,899.90, 147,177.90 and 83,465.70

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Solution

The fourth proportional to 97,899.90, 147,177.90 and 83,465.70 is: 125,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,899.90 : 147,177.90 = 83,465.70 : x
  2. Step 2: Convert to fraction form
    97,899.90/147,177.90 = 83,465.70/x
  3. Step 3: Cross multiply
    97,899.90x = 147,177.90 × 83,465.70
  4. Step 4: Simplify right side
    97,899.90x = 12,284,306,448.03
  5. Step 5: Solve for x
    x = 12,284,306,448.03/97,899.90
  6. Step 6: Final answer
    x = 125,478.23

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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.