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Finding the Fourth Proportional to 144,267.54, 216,381.12 and 49,496.16

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Solution

The fourth proportional to 144,267.54, 216,381.12 and 49,496.16 is: 74,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,267.54 : 216,381.12 = 49,496.16 : x
  2. Step 2: Convert to fraction form
    144,267.54/216,381.12 = 49,496.16/x
  3. Step 3: Cross multiply
    144,267.54x = 216,381.12 × 49,496.16
  4. Step 4: Simplify right side
    144,267.54x = 10,710,034,536.50
  5. Step 5: Solve for x
    x = 10,710,034,536.50/144,267.54
  6. Step 6: Final answer
    x = 74,237.31

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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.