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Finding the Fourth Proportional to 581,200.83, 871,785.11 and 154,740.32

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Solution

The fourth proportional to 581,200.83, 871,785.11 and 154,740.32 is: 232,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,200.83 : 871,785.11 = 154,740.32 : x
  2. Step 2: Convert to fraction form
    581,200.83/871,785.11 = 154,740.32/x
  3. Step 3: Cross multiply
    581,200.83x = 871,785.11 × 154,740.32
  4. Step 4: Simplify right side
    581,200.83x = 134,900,301,760.01
  5. Step 5: Solve for x
    x = 134,900,301,760.01/581,200.83
  6. Step 6: Final answer
    x = 232,106.18

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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.