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Finding the Fourth Proportional to 302,521.96, 453,882.30 and 152,691.40

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Solution

The fourth proportional to 302,521.96, 453,882.30 and 152,691.40 is: 229,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,521.96 : 453,882.30 = 152,691.40 : x
  2. Step 2: Convert to fraction form
    302,521.96/453,882.30 = 152,691.40/x
  3. Step 3: Cross multiply
    302,521.96x = 453,882.30 × 152,691.40
  4. Step 4: Simplify right side
    302,521.96x = 69,303,923,822.22
  5. Step 5: Solve for x
    x = 69,303,923,822.22/302,521.96
  6. Step 6: Final answer
    x = 229,087.25

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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.