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Finding the Fourth Proportional to 210,065.50, 290,132.22 and 152,960.14

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Solution

The fourth proportional to 210,065.50, 290,132.22 and 152,960.14 is: 211,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,065.50 : 290,132.22 = 152,960.14 : x
  2. Step 2: Convert to fraction form
    210,065.50/290,132.22 = 152,960.14/x
  3. Step 3: Cross multiply
    210,065.50x = 290,132.22 × 152,960.14
  4. Step 4: Simplify right side
    210,065.50x = 44,378,664,989.71
  5. Step 5: Solve for x
    x = 44,378,664,989.71/210,065.50
  6. Step 6: Final answer
    x = 211,261.08

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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.