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Finding the Fourth Proportional to 144,778.19, 216,927.09 and 102,448.40

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Solution

The fourth proportional to 144,778.19, 216,927.09 and 102,448.40 is: 153,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,778.19 : 216,927.09 = 102,448.40 : x
  2. Step 2: Convert to fraction form
    144,778.19/216,927.09 = 102,448.40/x
  3. Step 3: Cross multiply
    144,778.19x = 216,927.09 × 102,448.40
  4. Step 4: Simplify right side
    144,778.19x = 22,223,832,202.52
  5. Step 5: Solve for x
    x = 22,223,832,202.52/144,778.19
  6. Step 6: Final answer
    x = 153,502.63

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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.