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Finding the Fourth Proportional to 198,038.61, 297,053.01 and 57,798.45

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Solution

The fourth proportional to 198,038.61, 297,053.01 and 57,798.45 is: 86,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,038.61 : 297,053.01 = 57,798.45 : x
  2. Step 2: Convert to fraction form
    198,038.61/297,053.01 = 57,798.45/x
  3. Step 3: Cross multiply
    198,038.61x = 297,053.01 × 57,798.45
  4. Step 4: Simplify right side
    198,038.61x = 17,169,203,545.83
  5. Step 5: Solve for x
    x = 17,169,203,545.83/198,038.61
  6. Step 6: Final answer
    x = 86,696.24

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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.