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Finding the Fourth Proportional to 144,471.60, 216,415.80 and 100,148.40

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Solution

The fourth proportional to 144,471.60, 216,415.80 and 100,148.40 is: 150,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,471.60 : 216,415.80 = 100,148.40 : x
  2. Step 2: Convert to fraction form
    144,471.60/216,415.80 = 100,148.40/x
  3. Step 3: Cross multiply
    144,471.60x = 216,415.80 × 100,148.40
  4. Step 4: Simplify right side
    144,471.60x = 21,673,696,104.72
  5. Step 5: Solve for x
    x = 21,673,696,104.72/144,471.60
  6. Step 6: Final answer
    x = 150,020.46

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1.5x scale

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.