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Finding the Fourth Proportional to 234,711.86, 352,133.40 and 77,051.03

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Solution

The fourth proportional to 234,711.86, 352,133.40 and 77,051.03 is: 115,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,711.86 : 352,133.40 = 77,051.03 : x
  2. Step 2: Convert to fraction form
    234,711.86/352,133.40 = 77,051.03/x
  3. Step 3: Cross multiply
    234,711.86x = 352,133.40 × 77,051.03
  4. Step 4: Simplify right side
    234,711.86x = 27,132,239,406.74
  5. Step 5: Solve for x
    x = 27,132,239,406.74/234,711.86
  6. Step 6: Final answer
    x = 115,598.08

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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.