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Finding the Fourth Proportional to 199,547.98, 299,371.65 and 59,302.78

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Solution

The fourth proportional to 199,547.98, 299,371.65 and 59,302.78 is: 88,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,547.98 : 299,371.65 = 59,302.78 : x
  2. Step 2: Convert to fraction form
    199,547.98/299,371.65 = 59,302.78/x
  3. Step 3: Cross multiply
    199,547.98x = 299,371.65 × 59,302.78
  4. Step 4: Simplify right side
    199,547.98x = 17,753,571,098.19
  5. Step 5: Solve for x
    x = 17,753,571,098.19/199,547.98
  6. Step 6: Final answer
    x = 88,968.93

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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.