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Finding the Fourth Proportional to 150,643, 207,897.06 and 83,575

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Solution

The fourth proportional to 150,643, 207,897.06 and 83,575 is: 115,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643 : 207,897.06 = 83,575 : x
  2. Step 2: Convert to fraction form
    150,643/207,897.06 = 83,575/x
  3. Step 3: Cross multiply
    150,643x = 207,897.06 × 83,575
  4. Step 4: Simplify right side
    150,643x = 17,374,996,789.50
  5. Step 5: Solve for x
    x = 17,374,996,789.50/150,643
  6. Step 6: Final answer
    x = 115,338.89

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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.