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Finding the Fourth Proportional to 296,401.48, 444,602.49 and 138,740.65

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Solution

The fourth proportional to 296,401.48, 444,602.49 and 138,740.65 is: 208,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,401.48 : 444,602.49 = 138,740.65 : x
  2. Step 2: Convert to fraction form
    296,401.48/444,602.49 = 138,740.65/x
  3. Step 3: Cross multiply
    296,401.48x = 444,602.49 × 138,740.65
  4. Step 4: Simplify right side
    296,401.48x = 61,684,438,454.22
  5. Step 5: Solve for x
    x = 61,684,438,454.22/296,401.48
  6. Step 6: Final answer
    x = 208,111.10

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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.