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Finding the Fourth Proportional to 157,784.20, 236,330.70 and 137,048.20

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Solution

The fourth proportional to 157,784.20, 236,330.70 and 137,048.20 is: 205,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,784.20 : 236,330.70 = 137,048.20 : x
  2. Step 2: Convert to fraction form
    157,784.20/236,330.70 = 137,048.20/x
  3. Step 3: Cross multiply
    157,784.20x = 236,330.70 × 137,048.20
  4. Step 4: Simplify right side
    157,784.20x = 32,388,697,039.74
  5. Step 5: Solve for x
    x = 32,388,697,039.74/157,784.20
  6. Step 6: Final answer
    x = 205,272.12

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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.