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Finding the Fourth Proportional to 200,943.40, 301,712.70 and 112,373.80

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Solution

The fourth proportional to 200,943.40, 301,712.70 and 112,373.80 is: 168,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,943.40 : 301,712.70 = 112,373.80 : x
  2. Step 2: Convert to fraction form
    200,943.40/301,712.70 = 112,373.80/x
  3. Step 3: Cross multiply
    200,943.40x = 301,712.70 × 112,373.80
  4. Step 4: Simplify right side
    200,943.40x = 33,904,602,607.26
  5. Step 5: Solve for x
    x = 33,904,602,607.26/200,943.40
  6. Step 6: Final answer
    x = 168,727.13

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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.