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Finding the Fourth Proportional to 214,570.14, 296,038.29 and 123,914.13

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Solution

The fourth proportional to 214,570.14, 296,038.29 and 123,914.13 is: 170,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,570.14 : 296,038.29 = 123,914.13 : x
  2. Step 2: Convert to fraction form
    214,570.14/296,038.29 = 123,914.13/x
  3. Step 3: Cross multiply
    214,570.14x = 296,038.29 × 123,914.13
  4. Step 4: Simplify right side
    214,570.14x = 36,683,327,152.04
  5. Step 5: Solve for x
    x = 36,683,327,152.04/214,570.14
  6. Step 6: Final answer
    x = 170,961.94

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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.