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Finding the Fourth Proportional to 105,033.60, 144,950.16 and 59,719.20

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Solution

The fourth proportional to 105,033.60, 144,950.16 and 59,719.20 is: 82,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,033.60 : 144,950.16 = 59,719.20 : x
  2. Step 2: Convert to fraction form
    105,033.60/144,950.16 = 59,719.20/x
  3. Step 3: Cross multiply
    105,033.60x = 144,950.16 × 59,719.20
  4. Step 4: Simplify right side
    105,033.60x = 8,656,307,595.07
  5. Step 5: Solve for x
    x = 8,656,307,595.07/105,033.60
  6. Step 6: Final answer
    x = 82,414.65

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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.