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Finding the Fourth Proportional to 150,465, 207,641.73 and 83,397

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Solution

The fourth proportional to 150,465, 207,641.73 and 83,397 is: 115,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,465 : 207,641.73 = 83,397 : x
  2. Step 2: Convert to fraction form
    150,465/207,641.73 = 83,397/x
  3. Step 3: Cross multiply
    150,465x = 207,641.73 × 83,397
  4. Step 4: Simplify right side
    150,465x = 17,316,697,356.81
  5. Step 5: Solve for x
    x = 17,316,697,356.81/150,465
  6. Step 6: Final answer
    x = 115,087.88

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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.