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Finding the Fourth Proportional to 130,339.40, 195,746.70 and 114,009.80

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Solution

The fourth proportional to 130,339.40, 195,746.70 and 114,009.80 is: 171,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,339.40 : 195,746.70 = 114,009.80 : x
  2. Step 2: Convert to fraction form
    130,339.40/195,746.70 = 114,009.80/x
  3. Step 3: Cross multiply
    130,339.40x = 195,746.70 × 114,009.80
  4. Step 4: Simplify right side
    130,339.40x = 22,317,042,117.66
  5. Step 5: Solve for x
    x = 22,317,042,117.66/130,339.40
  6. Step 6: Final answer
    x = 171,222.53

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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.