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Finding the Fourth Proportional to 242,585.40, 363,014.10 and 153,881.40

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Solution

The fourth proportional to 242,585.40, 363,014.10 and 153,881.40 is: 230,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,585.40 : 363,014.10 = 153,881.40 : x
  2. Step 2: Convert to fraction form
    242,585.40/363,014.10 = 153,881.40/x
  3. Step 3: Cross multiply
    242,585.40x = 363,014.10 × 153,881.40
  4. Step 4: Simplify right side
    242,585.40x = 55,861,117,927.74
  5. Step 5: Solve for x
    x = 55,861,117,927.74/242,585.40
  6. Step 6: Final answer
    x = 230,274.03

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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.