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Finding the Fourth Proportional to 153,364, 211,568.12 and 98,901.78

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Solution

The fourth proportional to 153,364, 211,568.12 and 98,901.78 is: 136,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,364 : 211,568.12 = 98,901.78 : x
  2. Step 2: Convert to fraction form
    153,364/211,568.12 = 98,901.78/x
  3. Step 3: Cross multiply
    153,364x = 211,568.12 × 98,901.78
  4. Step 4: Simplify right side
    153,364x = 20,924,463,659.25
  5. Step 5: Solve for x
    x = 20,924,463,659.25/153,364
  6. Step 6: Final answer
    x = 136,436.61

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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.