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Finding the Fourth Proportional to 152,144.64, 209,888.88 and 98,447

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Solution

The fourth proportional to 152,144.64, 209,888.88 and 98,447 is: 135,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,144.64 : 209,888.88 = 98,447 : x
  2. Step 2: Convert to fraction form
    152,144.64/209,888.88 = 98,447/x
  3. Step 3: Cross multiply
    152,144.64x = 209,888.88 × 98,447
  4. Step 4: Simplify right side
    152,144.64x = 20,662,930,569.36
  5. Step 5: Solve for x
    x = 20,662,930,569.36/152,144.64
  6. Step 6: Final answer
    x = 135,811.10

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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.