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Finding the Fourth Proportional to 207,332.30, 310,998.46 and 102,356.30

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Solution

The fourth proportional to 207,332.30, 310,998.46 and 102,356.30 is: 153,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,332.30 : 310,998.46 = 102,356.30 : x
  2. Step 2: Convert to fraction form
    207,332.30/310,998.46 = 102,356.30/x
  3. Step 3: Cross multiply
    207,332.30x = 310,998.46 × 102,356.30
  4. Step 4: Simplify right side
    207,332.30x = 31,832,651,671.30
  5. Step 5: Solve for x
    x = 31,832,651,671.30/207,332.30
  6. Step 6: Final answer
    x = 153,534.45

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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.