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Finding the Fourth Proportional to 357,368.14, 535,933.20 and 144,080.96

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Solution

The fourth proportional to 357,368.14, 535,933.20 and 144,080.96 is: 216,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,368.14 : 535,933.20 = 144,080.96 : x
  2. Step 2: Convert to fraction form
    357,368.14/535,933.20 = 144,080.96/x
  3. Step 3: Cross multiply
    357,368.14x = 535,933.20 × 144,080.96
  4. Step 4: Simplify right side
    357,368.14x = 77,217,769,951.87
  5. Step 5: Solve for x
    x = 77,217,769,951.87/357,368.14
  6. Step 6: Final answer
    x = 216,073.46

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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.