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Finding the Fourth Proportional to 255,262.67, 382,920.20 and 97,623.71

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Solution

The fourth proportional to 255,262.67, 382,920.20 and 97,623.71 is: 146,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,262.67 : 382,920.20 = 97,623.71 : x
  2. Step 2: Convert to fraction form
    255,262.67/382,920.20 = 97,623.71/x
  3. Step 3: Cross multiply
    255,262.67x = 382,920.20 × 97,623.71
  4. Step 4: Simplify right side
    255,262.67x = 37,382,090,069.82
  5. Step 5: Solve for x
    x = 37,382,090,069.82/255,262.67
  6. Step 6: Final answer
    x = 146,445.58

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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.