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Finding the Fourth Proportional to 333,805.32, 500,725.29 and 97,166.45

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Solution

The fourth proportional to 333,805.32, 500,725.29 and 97,166.45 is: 145,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,805.32 : 500,725.29 = 97,166.45 : x
  2. Step 2: Convert to fraction form
    333,805.32/500,725.29 = 97,166.45/x
  3. Step 3: Cross multiply
    333,805.32x = 500,725.29 × 97,166.45
  4. Step 4: Simplify right side
    333,805.32x = 48,653,700,470.71
  5. Step 5: Solve for x
    x = 48,653,700,470.71/333,805.32
  6. Step 6: Final answer
    x = 145,754.72

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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.