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Finding the Fourth Proportional to 102,002.40, 153,003.60 and 49,514.40

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Solution

The fourth proportional to 102,002.40, 153,003.60 and 49,514.40 is: 74,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.40 : 153,003.60 = 49,514.40 : x
  2. Step 2: Convert to fraction form
    102,002.40/153,003.60 = 49,514.40/x
  3. Step 3: Cross multiply
    102,002.40x = 153,003.60 × 49,514.40
  4. Step 4: Simplify right side
    102,002.40x = 7,575,881,451.84
  5. Step 5: Solve for x
    x = 7,575,881,451.84/102,002.40
  6. Step 6: Final answer
    x = 74,271.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.