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Finding the Fourth Proportional to 357,529.14, 536,293.71 and 132,946.11

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Solution

The fourth proportional to 357,529.14, 536,293.71 and 132,946.11 is: 199,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,529.14 : 536,293.71 = 132,946.11 : x
  2. Step 2: Convert to fraction form
    357,529.14/536,293.71 = 132,946.11/x
  3. Step 3: Cross multiply
    357,529.14x = 536,293.71 × 132,946.11
  4. Step 4: Simplify right side
    357,529.14x = 71,298,159,215.77
  5. Step 5: Solve for x
    x = 71,298,159,215.77/357,529.14
  6. Step 6: Final answer
    x = 199,419.16

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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.