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Finding the Fourth Proportional to 229,410.50, 316,637.08 and 127,470.98

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Solution

The fourth proportional to 229,410.50, 316,637.08 and 127,470.98 is: 175,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,410.50 : 316,637.08 = 127,470.98 : x
  2. Step 2: Convert to fraction form
    229,410.50/316,637.08 = 127,470.98/x
  3. Step 3: Cross multiply
    229,410.50x = 316,637.08 × 127,470.98
  4. Step 4: Simplify right side
    229,410.50x = 40,362,039,364.85
  5. Step 5: Solve for x
    x = 40,362,039,364.85/229,410.50
  6. Step 6: Final answer
    x = 175,938.07

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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.