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Finding the Fourth Proportional to 200,981.58, 277,357.83 and 110,345.90

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Solution

The fourth proportional to 200,981.58, 277,357.83 and 110,345.90 is: 152,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,981.58 : 277,357.83 = 110,345.90 : x
  2. Step 2: Convert to fraction form
    200,981.58/277,357.83 = 110,345.90/x
  3. Step 3: Cross multiply
    200,981.58x = 277,357.83 × 110,345.90
  4. Step 4: Simplify right side
    200,981.58x = 30,605,299,373.40
  5. Step 5: Solve for x
    x = 30,605,299,373.40/200,981.58
  6. Step 6: Final answer
    x = 152,279.13

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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.