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Finding the Fourth Proportional to 233,657.48, 322,554.96 and 136,847.90

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Solution

The fourth proportional to 233,657.48, 322,554.96 and 136,847.90 is: 188,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,657.48 : 322,554.96 = 136,847.90 : x
  2. Step 2: Convert to fraction form
    233,657.48/322,554.96 = 136,847.90/x
  3. Step 3: Cross multiply
    233,657.48x = 322,554.96 × 136,847.90
  4. Step 4: Simplify right side
    233,657.48x = 44,140,967,297.81
  5. Step 5: Solve for x
    x = 44,140,967,297.81/233,657.48
  6. Step 6: Final answer
    x = 188,913.14

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1.5x scale

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.