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Finding the Fourth Proportional to 314,154.95, 471,276.23 and 100,929.33

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Solution

The fourth proportional to 314,154.95, 471,276.23 and 100,929.33 is: 151,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,154.95 : 471,276.23 = 100,929.33 : x
  2. Step 2: Convert to fraction form
    314,154.95/471,276.23 = 100,929.33/x
  3. Step 3: Cross multiply
    314,154.95x = 471,276.23 × 100,929.33
  4. Step 4: Simplify right side
    314,154.95x = 47,565,593,634.18
  5. Step 5: Solve for x
    x = 47,565,593,634.18/314,154.95
  6. Step 6: Final answer
    x = 151,408.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.