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Finding the Fourth Proportional to 176,041.20, 264,061.80 and 57,716.40

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Solution

The fourth proportional to 176,041.20, 264,061.80 and 57,716.40 is: 86,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,041.20 : 264,061.80 = 57,716.40 : x
  2. Step 2: Convert to fraction form
    176,041.20/264,061.80 = 57,716.40/x
  3. Step 3: Cross multiply
    176,041.20x = 264,061.80 × 57,716.40
  4. Step 4: Simplify right side
    176,041.20x = 15,240,696,473.52
  5. Step 5: Solve for x
    x = 15,240,696,473.52/176,041.20
  6. Step 6: Final answer
    x = 86,574.60

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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.