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Finding the Fourth Proportional to 302,140.74, 452,802.90 and 115,050.18

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Solution

The fourth proportional to 302,140.74, 452,802.90 and 115,050.18 is: 172,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,140.74 : 452,802.90 = 115,050.18 : x
  2. Step 2: Convert to fraction form
    302,140.74/452,802.90 = 115,050.18/x
  3. Step 3: Cross multiply
    302,140.74x = 452,802.90 × 115,050.18
  4. Step 4: Simplify right side
    302,140.74x = 52,095,055,149.52
  5. Step 5: Solve for x
    x = 52,095,055,149.52/302,140.74
  6. Step 6: Final answer
    x = 172,419.83

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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.