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Finding the Fourth Proportional to 117,834.36, 176,751.54 and 97,014.12

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Solution

The fourth proportional to 117,834.36, 176,751.54 and 97,014.12 is: 145,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,834.36 : 176,751.54 = 97,014.12 : x
  2. Step 2: Convert to fraction form
    117,834.36/176,751.54 = 97,014.12/x
  3. Step 3: Cross multiply
    117,834.36x = 176,751.54 × 97,014.12
  4. Step 4: Simplify right side
    117,834.36x = 17,147,395,111.74
  5. Step 5: Solve for x
    x = 17,147,395,111.74/117,834.36
  6. Step 6: Final answer
    x = 145,521.18

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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.