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Finding the Fourth Proportional to 83,152.80, 114,836.40 and 64,101.60

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Solution

The fourth proportional to 83,152.80, 114,836.40 and 64,101.60 is: 88,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,152.80 : 114,836.40 = 64,101.60 : x
  2. Step 2: Convert to fraction form
    83,152.80/114,836.40 = 64,101.60/x
  3. Step 3: Cross multiply
    83,152.80x = 114,836.40 × 64,101.60
  4. Step 4: Simplify right side
    83,152.80x = 7,361,196,978.24
  5. Step 5: Solve for x
    x = 7,361,196,978.24/83,152.80
  6. Step 6: Final answer
    x = 88,526.15

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1.5x scale

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.