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Finding the Fourth Proportional to 97,254.95, 134,250.48 and 83,588.90

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Solution

The fourth proportional to 97,254.95, 134,250.48 and 83,588.90 is: 115,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,254.95 : 134,250.48 = 83,588.90 : x
  2. Step 2: Convert to fraction form
    97,254.95/134,250.48 = 83,588.90/x
  3. Step 3: Cross multiply
    97,254.95x = 134,250.48 × 83,588.90
  4. Step 4: Simplify right side
    97,254.95x = 11,221,849,276.42
  5. Step 5: Solve for x
    x = 11,221,849,276.42/97,254.95
  6. Step 6: Final answer
    x = 115,385.90

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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.