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Finding the Fourth Proportional to 225,307.84, 310,920.12 and 123,330.80

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Solution

The fourth proportional to 225,307.84, 310,920.12 and 123,330.80 is: 170,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,307.84 : 310,920.12 = 123,330.80 : x
  2. Step 2: Convert to fraction form
    225,307.84/310,920.12 = 123,330.80/x
  3. Step 3: Cross multiply
    225,307.84x = 310,920.12 × 123,330.80
  4. Step 4: Simplify right side
    225,307.84x = 38,346,027,135.70
  5. Step 5: Solve for x
    x = 38,346,027,135.70/225,307.84
  6. Step 6: Final answer
    x = 170,193.93

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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.