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Finding the Fourth Proportional to 201,462, 278,023.68 and 110,813.28

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Solution

The fourth proportional to 201,462, 278,023.68 and 110,813.28 is: 152,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,462 : 278,023.68 = 110,813.28 : x
  2. Step 2: Convert to fraction form
    201,462/278,023.68 = 110,813.28/x
  3. Step 3: Cross multiply
    201,462x = 278,023.68 × 110,813.28
  4. Step 4: Simplify right side
    201,462x = 30,808,715,898.47
  5. Step 5: Solve for x
    x = 30,808,715,898.47/201,462
  6. Step 6: Final answer
    x = 152,925.69

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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.