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Finding the Fourth Proportional to 242,527.60, 334,698.38 and 135,097.66

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Solution

The fourth proportional to 242,527.60, 334,698.38 and 135,097.66 is: 186,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,527.60 : 334,698.38 = 135,097.66 : x
  2. Step 2: Convert to fraction form
    242,527.60/334,698.38 = 135,097.66/x
  3. Step 3: Cross multiply
    242,527.60x = 334,698.38 × 135,097.66
  4. Step 4: Simplify right side
    242,527.60x = 45,216,967,943.79
  5. Step 5: Solve for x
    x = 45,216,967,943.79/242,527.60
  6. Step 6: Final answer
    x = 186,440.50

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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.