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Finding the Fourth Proportional to 97,116.57, 134,041.50 and 65,267.00

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Solution

The fourth proportional to 97,116.57, 134,041.50 and 65,267.00 is: 90,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,116.57 : 134,041.50 = 65,267.00 : x
  2. Step 2: Convert to fraction form
    97,116.57/134,041.50 = 65,267.00/x
  3. Step 3: Cross multiply
    97,116.57x = 134,041.50 × 65,267.00
  4. Step 4: Simplify right side
    97,116.57x = 8,748,486,412.95
  5. Step 5: Solve for x
    x = 8,748,486,412.95/97,116.57
  6. Step 6: Final answer
    x = 90,082.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.