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Finding the Fourth Proportional to 162,053.80, 242,643.30 and 127,061.80

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Solution

The fourth proportional to 162,053.80, 242,643.30 and 127,061.80 is: 190,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,053.80 : 242,643.30 = 127,061.80 : x
  2. Step 2: Convert to fraction form
    162,053.80/242,643.30 = 127,061.80/x
  3. Step 3: Cross multiply
    162,053.80x = 242,643.30 × 127,061.80
  4. Step 4: Simplify right side
    162,053.80x = 30,830,694,455.94
  5. Step 5: Solve for x
    x = 30,830,694,455.94/162,053.80
  6. Step 6: Final answer
    x = 190,249.75

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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.