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Finding the Fourth Proportional to 97,656.30, 146,083.41 and 77,973.30

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Solution

The fourth proportional to 97,656.30, 146,083.41 and 77,973.30 is: 116,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,656.30 : 146,083.41 = 77,973.30 : x
  2. Step 2: Convert to fraction form
    97,656.30/146,083.41 = 77,973.30/x
  3. Step 3: Cross multiply
    97,656.30x = 146,083.41 × 77,973.30
  4. Step 4: Simplify right side
    97,656.30x = 11,390,605,552.95
  5. Step 5: Solve for x
    x = 11,390,605,552.95/97,656.30
  6. Step 6: Final answer
    x = 116,639.74

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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.