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Finding the Fourth Proportional to 130,415, 195,303.46 and 117,793.12

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Solution

The fourth proportional to 130,415, 195,303.46 and 117,793.12 is: 176,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,415 : 195,303.46 = 117,793.12 : x
  2. Step 2: Convert to fraction form
    130,415/195,303.46 = 117,793.12/x
  3. Step 3: Cross multiply
    130,415x = 195,303.46 × 117,793.12
  4. Step 4: Simplify right side
    130,415x = 23,005,403,900.20
  5. Step 5: Solve for x
    x = 23,005,403,900.20/130,415
  6. Step 6: Final answer
    x = 176,401.52

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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.