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Finding the Fourth Proportional to 102,813.90, 141,868.14 and 60,386.10

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Solution

The fourth proportional to 102,813.90, 141,868.14 and 60,386.10 is: 83,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,813.90 : 141,868.14 = 60,386.10 : x
  2. Step 2: Convert to fraction form
    102,813.90/141,868.14 = 60,386.10/x
  3. Step 3: Cross multiply
    102,813.90x = 141,868.14 × 60,386.10
  4. Step 4: Simplify right side
    102,813.90x = 8,566,863,688.85
  5. Step 5: Solve for x
    x = 8,566,863,688.85/102,813.90
  6. Step 6: Final answer
    x = 83,323.98

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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.