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Finding the Fourth Proportional to 97,356.84, 134,354.19 and 57,099.66

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Solution

The fourth proportional to 97,356.84, 134,354.19 and 57,099.66 is: 78,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,356.84 : 134,354.19 = 57,099.66 : x
  2. Step 2: Convert to fraction form
    97,356.84/134,354.19 = 57,099.66/x
  3. Step 3: Cross multiply
    97,356.84x = 134,354.19 × 57,099.66
  4. Step 4: Simplify right side
    97,356.84x = 7,671,578,568.58
  5. Step 5: Solve for x
    x = 7,671,578,568.58/97,356.84
  6. Step 6: Final answer
    x = 78,798.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.