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Finding the Fourth Proportional to 518,071.13, 777,150.70 and 144,094.13

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Solution

The fourth proportional to 518,071.13, 777,150.70 and 144,094.13 is: 216,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,071.13 : 777,150.70 = 144,094.13 : x
  2. Step 2: Convert to fraction form
    518,071.13/777,150.70 = 144,094.13/x
  3. Step 3: Cross multiply
    518,071.13x = 777,150.70 × 144,094.13
  4. Step 4: Simplify right side
    518,071.13x = 111,982,850,109.64
  5. Step 5: Solve for x
    x = 111,982,850,109.64/518,071.13
  6. Step 6: Final answer
    x = 216,153.43

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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.