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Finding the Fourth Proportional to 233,281.86, 349,920.45 and 106,886.24

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Solution

The fourth proportional to 233,281.86, 349,920.45 and 106,886.24 is: 160,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,281.86 : 349,920.45 = 106,886.24 : x
  2. Step 2: Convert to fraction form
    233,281.86/349,920.45 = 106,886.24/x
  3. Step 3: Cross multiply
    233,281.86x = 349,920.45 × 106,886.24
  4. Step 4: Simplify right side
    233,281.86x = 37,401,679,450.01
  5. Step 5: Solve for x
    x = 37,401,679,450.01/233,281.86
  6. Step 6: Final answer
    x = 160,328.28

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1.5x scale

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.