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Finding the Fourth Proportional to 277,501.40, 382,969.16 and 156,598.56

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Solution

The fourth proportional to 277,501.40, 382,969.16 and 156,598.56 is: 216,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,501.40 : 382,969.16 = 156,598.56 : x
  2. Step 2: Convert to fraction form
    277,501.40/382,969.16 = 156,598.56/x
  3. Step 3: Cross multiply
    277,501.40x = 382,969.16 × 156,598.56
  4. Step 4: Simplify right side
    277,501.40x = 59,972,418,980.41
  5. Step 5: Solve for x
    x = 59,972,418,980.41/277,501.40
  6. Step 6: Final answer
    x = 216,115.73

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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.