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Finding the Fourth Proportional to 149,925.74, 224,950.77 and 65,642.40

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Solution

The fourth proportional to 149,925.74, 224,950.77 and 65,642.40 is: 98,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,925.74 : 224,950.77 = 65,642.40 : x
  2. Step 2: Convert to fraction form
    149,925.74/224,950.77 = 65,642.40/x
  3. Step 3: Cross multiply
    149,925.74x = 224,950.77 × 65,642.40
  4. Step 4: Simplify right side
    149,925.74x = 14,766,308,424.65
  5. Step 5: Solve for x
    x = 14,766,308,424.65/149,925.74
  6. Step 6: Final answer
    x = 98,490.82

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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.