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Finding the Fourth Proportional to 299,077.96, 448,547.78 and 88,665.16

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Solution

The fourth proportional to 299,077.96, 448,547.78 and 88,665.16 is: 132,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,077.96 : 448,547.78 = 88,665.16 : x
  2. Step 2: Convert to fraction form
    299,077.96/448,547.78 = 88,665.16/x
  3. Step 3: Cross multiply
    299,077.96x = 448,547.78 × 88,665.16
  4. Step 4: Simplify right side
    299,077.96x = 39,770,560,681.34
  5. Step 5: Solve for x
    x = 39,770,560,681.34/299,077.96
  6. Step 6: Final answer
    x = 132,977.24

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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.