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Finding the Fourth Proportional to 242,831.97, 335,319.62 and 152,343.50

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Solution

The fourth proportional to 242,831.97, 335,319.62 and 152,343.50 is: 210,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,831.97 : 335,319.62 = 152,343.50 : x
  2. Step 2: Convert to fraction form
    242,831.97/335,319.62 = 152,343.50/x
  3. Step 3: Cross multiply
    242,831.97x = 335,319.62 × 152,343.50
  4. Step 4: Simplify right side
    242,831.97x = 51,083,762,091.15
  5. Step 5: Solve for x
    x = 51,083,762,091.15/242,831.97
  6. Step 6: Final answer
    x = 210,366.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.