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Finding the Fourth Proportional to 144,277.60, 199,068.90 and 83,812.30

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Solution

The fourth proportional to 144,277.60, 199,068.90 and 83,812.30 is: 115,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,277.60 : 199,068.90 = 83,812.30 : x
  2. Step 2: Convert to fraction form
    144,277.60/199,068.90 = 83,812.30/x
  3. Step 3: Cross multiply
    144,277.60x = 199,068.90 × 83,812.30
  4. Step 4: Simplify right side
    144,277.60x = 16,684,422,367.47
  5. Step 5: Solve for x
    x = 16,684,422,367.47/144,277.60
  6. Step 6: Final answer
    x = 115,641.11

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1.5x scale

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.