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Finding the Fourth Proportional to 242,267.36, 334,139.28 and 157,412

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Solution

The fourth proportional to 242,267.36, 334,139.28 and 157,412 is: 217,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,267.36 : 334,139.28 = 157,412 : x
  2. Step 2: Convert to fraction form
    242,267.36/334,139.28 = 157,412/x
  3. Step 3: Cross multiply
    242,267.36x = 334,139.28 × 157,412
  4. Step 4: Simplify right side
    242,267.36x = 52,597,532,343.36
  5. Step 5: Solve for x
    x = 52,597,532,343.36/242,267.36
  6. Step 6: Final answer
    x = 217,105.32

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