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Finding the Fourth Proportional to 201,205.17, 277,663.06 and 110,566.98

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Solution

The fourth proportional to 201,205.17, 277,663.06 and 110,566.98 is: 152,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205.17 : 277,663.06 = 110,566.98 : x
  2. Step 2: Convert to fraction form
    201,205.17/277,663.06 = 110,566.98/x
  3. Step 3: Cross multiply
    201,205.17x = 277,663.06 × 110,566.98
  4. Step 4: Simplify right side
    201,205.17x = 30,700,366,001.76
  5. Step 5: Solve for x
    x = 30,700,366,001.76/201,205.17
  6. Step 6: Final answer
    x = 152,582.39

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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.