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Finding the Fourth Proportional to 175,497.02, 242,185.62 and 99,016

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Solution

The fourth proportional to 175,497.02, 242,185.62 and 99,016 is: 136,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,497.02 : 242,185.62 = 99,016 : x
  2. Step 2: Convert to fraction form
    175,497.02/242,185.62 = 99,016/x
  3. Step 3: Cross multiply
    175,497.02x = 242,185.62 × 99,016
  4. Step 4: Simplify right side
    175,497.02x = 23,980,251,349.92
  5. Step 5: Solve for x
    x = 23,980,251,349.92/175,497.02
  6. Step 6: Final answer
    x = 136,641.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.