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Finding the Fourth Proportional to 238,223.14, 328,748.57 and 130,800.13

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Solution

The fourth proportional to 238,223.14, 328,748.57 and 130,800.13 is: 180,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,223.14 : 328,748.57 = 130,800.13 : x
  2. Step 2: Convert to fraction form
    238,223.14/328,748.57 = 130,800.13/x
  3. Step 3: Cross multiply
    238,223.14x = 328,748.57 × 130,800.13
  4. Step 4: Simplify right side
    238,223.14x = 43,000,354,707.94
  5. Step 5: Solve for x
    x = 43,000,354,707.94/238,223.14
  6. Step 6: Final answer
    x = 180,504.53

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1.5x scale

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.