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Finding the Fourth Proportional to 201,381.84, 277,947.18 and 153,549.72

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Solution

The fourth proportional to 201,381.84, 277,947.18 and 153,549.72 is: 211,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,381.84 : 277,947.18 = 153,549.72 : x
  2. Step 2: Convert to fraction form
    201,381.84/277,947.18 = 153,549.72/x
  3. Step 3: Cross multiply
    201,381.84x = 277,947.18 × 153,549.72
  4. Step 4: Simplify right side
    201,381.84x = 42,678,711,663.79
  5. Step 5: Solve for x
    x = 42,678,711,663.79/201,381.84
  6. Step 6: Final answer
    x = 211,929.30

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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.