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Finding the Fourth Proportional to 119,277.64, 164,611.74 and 71,530.12

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Solution

The fourth proportional to 119,277.64, 164,611.74 and 71,530.12 is: 98,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,277.64 : 164,611.74 = 71,530.12 : x
  2. Step 2: Convert to fraction form
    119,277.64/164,611.74 = 71,530.12/x
  3. Step 3: Cross multiply
    119,277.64x = 164,611.74 × 71,530.12
  4. Step 4: Simplify right side
    119,277.64x = 11,774,697,515.61
  5. Step 5: Solve for x
    x = 11,774,697,515.61/119,277.64
  6. Step 6: Final answer
    x = 98,716.72

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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.