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Finding the Fourth Proportional to 107,312.80, 148,093.28 and 59,569.20

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Solution

The fourth proportional to 107,312.80, 148,093.28 and 59,569.20 is: 82,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,312.80 : 148,093.28 = 59,569.20 : x
  2. Step 2: Convert to fraction form
    107,312.80/148,093.28 = 59,569.20/x
  3. Step 3: Cross multiply
    107,312.80x = 148,093.28 × 59,569.20
  4. Step 4: Simplify right side
    107,312.80x = 8,821,798,214.98
  5. Step 5: Solve for x
    x = 8,821,798,214.98/107,312.80
  6. Step 6: Final answer
    x = 82,206.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.