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Finding the Fourth Proportional to 132,415.76, 198,622.84 and 57,526.16

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Solution

The fourth proportional to 132,415.76, 198,622.84 and 57,526.16 is: 86,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,415.76 : 198,622.84 = 57,526.16 : x
  2. Step 2: Convert to fraction form
    132,415.76/198,622.84 = 57,526.16/x
  3. Step 3: Cross multiply
    132,415.76x = 198,622.84 × 57,526.16
  4. Step 4: Simplify right side
    132,415.76x = 11,426,009,273.49
  5. Step 5: Solve for x
    x = 11,426,009,273.49/132,415.76
  6. Step 6: Final answer
    x = 86,288.89

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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.