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Finding the Fourth Proportional to 97,355.84, 134,352.81 and 57,098.65

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Solution

The fourth proportional to 97,355.84, 134,352.81 and 57,098.65 is: 78,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,355.84 : 134,352.81 = 57,098.65 : x
  2. Step 2: Convert to fraction form
    97,355.84/134,352.81 = 57,098.65/x
  3. Step 3: Cross multiply
    97,355.84x = 134,352.81 × 57,098.65
  4. Step 4: Simplify right side
    97,355.84x = 7,671,364,074.71
  5. Step 5: Solve for x
    x = 7,671,364,074.71/97,355.84
  6. Step 6: Final answer
    x = 78,797.16

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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.