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Finding the Fourth Proportional to 117,144.48, 175,687.56 and 46,985.52

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Solution

The fourth proportional to 117,144.48, 175,687.56 and 46,985.52 is: 70,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,144.48 : 175,687.56 = 46,985.52 : x
  2. Step 2: Convert to fraction form
    117,144.48/175,687.56 = 46,985.52/x
  3. Step 3: Cross multiply
    117,144.48x = 175,687.56 × 46,985.52
  4. Step 4: Simplify right side
    117,144.48x = 8,254,771,364.13
  5. Step 5: Solve for x
    x = 8,254,771,364.13/117,144.48
  6. Step 6: Final answer
    x = 70,466.58

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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.