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Finding the Fourth Proportional to 581,142.95, 871,733.88 and 202,066.95

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Solution

The fourth proportional to 581,142.95, 871,733.88 and 202,066.95 is: 303,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,142.95 : 871,733.88 = 202,066.95 : x
  2. Step 2: Convert to fraction form
    581,142.95/871,733.88 = 202,066.95/x
  3. Step 3: Cross multiply
    581,142.95x = 871,733.88 × 202,066.95
  4. Step 4: Simplify right side
    581,142.95x = 176,148,609,612.27
  5. Step 5: Solve for x
    x = 176,148,609,612.27/581,142.95
  6. Step 6: Final answer
    x = 303,107.19

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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.