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Finding the Fourth Proportional to 242,783.36, 334,851.12 and 157,927.52

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Solution

The fourth proportional to 242,783.36, 334,851.12 and 157,927.52 is: 217,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,783.36 : 334,851.12 = 157,927.52 : x
  2. Step 2: Convert to fraction form
    242,783.36/334,851.12 = 157,927.52/x
  3. Step 3: Cross multiply
    242,783.36x = 334,851.12 × 157,927.52
  4. Step 4: Simplify right side
    242,783.36x = 52,882,206,950.82
  5. Step 5: Solve for x
    x = 52,882,206,950.82/242,783.36
  6. Step 6: Final answer
    x = 217,816.44

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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.