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Finding the Fourth Proportional to 230,831.70, 346,053.15 and 120,023.70

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Solution

The fourth proportional to 230,831.70, 346,053.15 and 120,023.70 is: 179,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,831.70 : 346,053.15 = 120,023.70 : x
  2. Step 2: Convert to fraction form
    230,831.70/346,053.15 = 120,023.70/x
  3. Step 3: Cross multiply
    230,831.70x = 346,053.15 × 120,023.70
  4. Step 4: Simplify right side
    230,831.70x = 41,534,579,459.66
  5. Step 5: Solve for x
    x = 41,534,579,459.66/230,831.70
  6. Step 6: Final answer
    x = 179,934.47

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1.5x scale

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.