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Finding the Fourth Proportional to 117,130.16, 175,643.30 and 53,934.98

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Solution

The fourth proportional to 117,130.16, 175,643.30 and 53,934.98 is: 80,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,130.16 : 175,643.30 = 53,934.98 : x
  2. Step 2: Convert to fraction form
    117,130.16/175,643.30 = 53,934.98/x
  3. Step 3: Cross multiply
    117,130.16x = 175,643.30 × 53,934.98
  4. Step 4: Simplify right side
    117,130.16x = 9,473,317,129.25
  5. Step 5: Solve for x
    x = 9,473,317,129.25/117,130.16
  6. Step 6: Final answer
    x = 80,878.55

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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.