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Finding the Fourth Proportional to 310,386.61, 465,612.71 and 132,845.95

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Solution

The fourth proportional to 310,386.61, 465,612.71 and 132,845.95 is: 199,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,386.61 : 465,612.71 = 132,845.95 : x
  2. Step 2: Convert to fraction form
    310,386.61/465,612.71 = 132,845.95/x
  3. Step 3: Cross multiply
    310,386.61x = 465,612.71 × 132,845.95
  4. Step 4: Simplify right side
    310,386.61x = 61,854,762,792.02
  5. Step 5: Solve for x
    x = 61,854,762,792.02/310,386.61
  6. Step 6: Final answer
    x = 199,282.96

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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.