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Finding the Fourth Proportional to 117,643.60, 176,465.40 and 65,155.60

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Solution

The fourth proportional to 117,643.60, 176,465.40 and 65,155.60 is: 97,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,643.60 : 176,465.40 = 65,155.60 : x
  2. Step 2: Convert to fraction form
    117,643.60/176,465.40 = 65,155.60/x
  3. Step 3: Cross multiply
    117,643.60x = 176,465.40 × 65,155.60
  4. Step 4: Simplify right side
    117,643.60x = 11,497,709,016.24
  5. Step 5: Solve for x
    x = 11,497,709,016.24/117,643.60
  6. Step 6: Final answer
    x = 97,733.40

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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.