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Finding the Fourth Proportional to 97,676.40, 146,827.80 and 90,742.80

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Solution

The fourth proportional to 97,676.40, 146,827.80 and 90,742.80 is: 136,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,676.40 : 146,827.80 = 90,742.80 : x
  2. Step 2: Convert to fraction form
    97,676.40/146,827.80 = 90,742.80/x
  3. Step 3: Cross multiply
    97,676.40x = 146,827.80 × 90,742.80
  4. Step 4: Simplify right side
    97,676.40x = 13,323,565,689.84
  5. Step 5: Solve for x
    x = 13,323,565,689.84/97,676.40
  6. Step 6: Final answer
    x = 136,405.17

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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.