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Finding the Fourth Proportional to 106,955.52, 160,724.07 and 57,070.86

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Solution

The fourth proportional to 106,955.52, 160,724.07 and 57,070.86 is: 85,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,955.52 : 160,724.07 = 57,070.86 : x
  2. Step 2: Convert to fraction form
    106,955.52/160,724.07 = 57,070.86/x
  3. Step 3: Cross multiply
    106,955.52x = 160,724.07 × 57,070.86
  4. Step 4: Simplify right side
    106,955.52x = 9,172,660,897.60
  5. Step 5: Solve for x
    x = 9,172,660,897.60/106,955.52
  6. Step 6: Final answer
    x = 85,761.45

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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.