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Finding the Fourth Proportional to 144,014.10, 216,021.15 and 102,023.70

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Solution

The fourth proportional to 144,014.10, 216,021.15 and 102,023.70 is: 153,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,014.10 : 216,021.15 = 102,023.70 : x
  2. Step 2: Convert to fraction form
    144,014.10/216,021.15 = 102,023.70/x
  3. Step 3: Cross multiply
    144,014.10x = 216,021.15 × 102,023.70
  4. Step 4: Simplify right side
    144,014.10x = 22,039,277,001.26
  5. Step 5: Solve for x
    x = 22,039,277,001.26/144,014.10
  6. Step 6: Final answer
    x = 153,035.55

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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.