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Finding the Fourth Proportional to 107,029.30, 160,543.95 and 65,557.30

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Solution

The fourth proportional to 107,029.30, 160,543.95 and 65,557.30 is: 98,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,029.30 : 160,543.95 = 65,557.30 : x
  2. Step 2: Convert to fraction form
    107,029.30/160,543.95 = 65,557.30/x
  3. Step 3: Cross multiply
    107,029.30x = 160,543.95 × 65,557.30
  4. Step 4: Simplify right side
    107,029.30x = 10,524,827,893.34
  5. Step 5: Solve for x
    x = 10,524,827,893.34/107,029.30
  6. Step 6: Final answer
    x = 98,335.95

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1.5x scale

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.