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Finding the Fourth Proportional to 145,703.29, 218,584.50 and 61,463.74

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Solution

The fourth proportional to 145,703.29, 218,584.50 and 61,463.74 is: 92,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,703.29 : 218,584.50 = 61,463.74 : x
  2. Step 2: Convert to fraction form
    145,703.29/218,584.50 = 61,463.74/x
  3. Step 3: Cross multiply
    145,703.29x = 218,584.50 × 61,463.74
  4. Step 4: Simplify right side
    145,703.29x = 13,435,020,067.02
  5. Step 5: Solve for x
    x = 13,435,020,067.02/145,703.29
  6. Step 6: Final answer
    x = 92,208.07

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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.