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Finding the Fourth Proportional to 210,294.23, 290,205.90 and 114,800.90

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Solution

The fourth proportional to 210,294.23, 290,205.90 and 114,800.90 is: 158,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,294.23 : 290,205.90 = 114,800.90 : x
  2. Step 2: Convert to fraction form
    210,294.23/290,205.90 = 114,800.90/x
  3. Step 3: Cross multiply
    210,294.23x = 290,205.90 × 114,800.90
  4. Step 4: Simplify right side
    210,294.23x = 33,315,897,054.28
  5. Step 5: Solve for x
    x = 33,315,897,054.28/210,294.23
  6. Step 6: Final answer
    x = 158,425.16

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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.