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Finding the Fourth Proportional to 150,700, 207,966.54 and 83,632

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Solution

The fourth proportional to 150,700, 207,966.54 and 83,632 is: 115,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,700 : 207,966.54 = 83,632 : x
  2. Step 2: Convert to fraction form
    150,700/207,966.54 = 83,632/x
  3. Step 3: Cross multiply
    150,700x = 207,966.54 × 83,632
  4. Step 4: Simplify right side
    150,700x = 17,392,657,673.28
  5. Step 5: Solve for x
    x = 17,392,657,673.28/150,700
  6. Step 6: Final answer
    x = 115,412.46

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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.