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Finding the Fourth Proportional to 102,004.10, 152,319.16 and 83,321.04

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Solution

The fourth proportional to 102,004.10, 152,319.16 and 83,321.04 is: 124,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004.10 : 152,319.16 = 83,321.04 : x
  2. Step 2: Convert to fraction form
    102,004.10/152,319.16 = 83,321.04/x
  3. Step 3: Cross multiply
    102,004.10x = 152,319.16 × 83,321.04
  4. Step 4: Simplify right side
    102,004.10x = 12,691,390,823.13
  5. Step 5: Solve for x
    x = 12,691,390,823.13/102,004.10
  6. Step 6: Final answer
    x = 124,420.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.