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Finding the Fourth Proportional to 176,574.80, 264,862.20 and 141,582.80

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Solution

The fourth proportional to 176,574.80, 264,862.20 and 141,582.80 is: 212,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,574.80 : 264,862.20 = 141,582.80 : x
  2. Step 2: Convert to fraction form
    176,574.80/264,862.20 = 141,582.80/x
  3. Step 3: Cross multiply
    176,574.80x = 264,862.20 × 141,582.80
  4. Step 4: Simplify right side
    176,574.80x = 37,499,931,890.16
  5. Step 5: Solve for x
    x = 37,499,931,890.16/176,574.80
  6. Step 6: Final answer
    x = 212,374.20

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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.