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Finding the Fourth Proportional to 109,368.84, 164,644.10 and 98,370.69

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Solution

The fourth proportional to 109,368.84, 164,644.10 and 98,370.69 is: 148,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,368.84 : 164,644.10 = 98,370.69 : x
  2. Step 2: Convert to fraction form
    109,368.84/164,644.10 = 98,370.69/x
  3. Step 3: Cross multiply
    109,368.84x = 164,644.10 × 98,370.69
  4. Step 4: Simplify right side
    109,368.84x = 16,196,153,721.43
  5. Step 5: Solve for x
    x = 16,196,153,721.43/109,368.84
  6. Step 6: Final answer
    x = 148,087.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.