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Finding the Fourth Proportional to 109,046.90, 150,477.26 and 61,307.66

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Solution

The fourth proportional to 109,046.90, 150,477.26 and 61,307.66 is: 84,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,046.90 : 150,477.26 = 61,307.66 : x
  2. Step 2: Convert to fraction form
    109,046.90/150,477.26 = 61,307.66/x
  3. Step 3: Cross multiply
    109,046.90x = 150,477.26 × 61,307.66
  4. Step 4: Simplify right side
    109,046.90x = 9,225,408,693.81
  5. Step 5: Solve for x
    x = 9,225,408,693.81/109,046.90
  6. Step 6: Final answer
    x = 84,600.38

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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.