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Finding the Fourth Proportional to 176,078.40, 263,712.60 and 144,585.60

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Solution

The fourth proportional to 176,078.40, 263,712.60 and 144,585.60 is: 216,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,078.40 : 263,712.60 = 144,585.60 : x
  2. Step 2: Convert to fraction form
    176,078.40/263,712.60 = 144,585.60/x
  3. Step 3: Cross multiply
    176,078.40x = 263,712.60 × 144,585.60
  4. Step 4: Simplify right side
    176,078.40x = 38,129,044,498.56
  5. Step 5: Solve for x
    x = 38,129,044,498.56/176,078.40
  6. Step 6: Final answer
    x = 216,545.84

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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.