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Finding the Fourth Proportional to 170,143, 234,810.90 and 98,524.28

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Solution

The fourth proportional to 170,143, 234,810.90 and 98,524.28 is: 135,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,143 : 234,810.90 = 98,524.28 : x
  2. Step 2: Convert to fraction form
    170,143/234,810.90 = 98,524.28/x
  3. Step 3: Cross multiply
    170,143x = 234,810.90 × 98,524.28
  4. Step 4: Simplify right side
    170,143x = 23,134,574,858.65
  5. Step 5: Solve for x
    x = 23,134,574,858.65/170,143
  6. Step 6: Final answer
    x = 135,971.36

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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.