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Finding the Fourth Proportional to 105,040, 157,606.08 and 61,264

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Solution

The fourth proportional to 105,040, 157,606.08 and 61,264 is: 91,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,040 : 157,606.08 = 61,264 : x
  2. Step 2: Convert to fraction form
    105,040/157,606.08 = 61,264/x
  3. Step 3: Cross multiply
    105,040x = 157,606.08 × 61,264
  4. Step 4: Simplify right side
    105,040x = 9,655,578,885.12
  5. Step 5: Solve for x
    x = 9,655,578,885.12/105,040
  6. Step 6: Final answer
    x = 91,922.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.