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Finding the Fourth Proportional to 106,098, 146,423.16 and 60,790.08

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Solution

The fourth proportional to 106,098, 146,423.16 and 60,790.08 is: 83,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,098 : 146,423.16 = 60,790.08 : x
  2. Step 2: Convert to fraction form
    106,098/146,423.16 = 60,790.08/x
  3. Step 3: Cross multiply
    106,098x = 146,423.16 × 60,790.08
  4. Step 4: Simplify right side
    106,098x = 8,901,075,610.25
  5. Step 5: Solve for x
    x = 8,901,075,610.25/106,098
  6. Step 6: Final answer
    x = 83,894.85

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