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Finding the Fourth Proportional to 238,294.55, 328,764.24 and 152,303.87

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Solution

The fourth proportional to 238,294.55, 328,764.24 and 152,303.87 is: 210,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,294.55 : 328,764.24 = 152,303.87 : x
  2. Step 2: Convert to fraction form
    238,294.55/328,764.24 = 152,303.87/x
  3. Step 3: Cross multiply
    238,294.55x = 328,764.24 × 152,303.87
  4. Step 4: Simplify right side
    238,294.55x = 50,072,066,069.61
  5. Step 5: Solve for x
    x = 50,072,066,069.61/238,294.55
  6. Step 6: Final answer
    x = 210,126.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.