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Finding the Fourth Proportional to 133,752.61, 200,612.51 and 77,623.25

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Solution

The fourth proportional to 133,752.61, 200,612.51 and 77,623.25 is: 116,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,752.61 : 200,612.51 = 77,623.25 : x
  2. Step 2: Convert to fraction form
    133,752.61/200,612.51 = 77,623.25/x
  3. Step 3: Cross multiply
    133,752.61x = 200,612.51 × 77,623.25
  4. Step 4: Simplify right side
    133,752.61x = 15,572,194,628.74
  5. Step 5: Solve for x
    x = 15,572,194,628.74/133,752.61
  6. Step 6: Final answer
    x = 116,425.36

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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.