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Finding the Fourth Proportional to 99,478.95, 137,280.93 and 54,766.95

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Solution

The fourth proportional to 99,478.95, 137,280.93 and 54,766.95 is: 75,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,478.95 : 137,280.93 = 54,766.95 : x
  2. Step 2: Convert to fraction form
    99,478.95/137,280.93 = 54,766.95/x
  3. Step 3: Cross multiply
    99,478.95x = 137,280.93 × 54,766.95
  4. Step 4: Simplify right side
    99,478.95x = 7,518,457,829.26
  5. Step 5: Solve for x
    x = 7,518,457,829.26/99,478.95
  6. Step 6: Final answer
    x = 75,578.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.