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Finding the Fourth Proportional to 214,575.64, 296,045.95 and 123,919.63

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Solution

The fourth proportional to 214,575.64, 296,045.95 and 123,919.63 is: 170,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,575.64 : 296,045.95 = 123,919.63 : x
  2. Step 2: Convert to fraction form
    214,575.64/296,045.95 = 123,919.63/x
  3. Step 3: Cross multiply
    214,575.64x = 296,045.95 × 123,919.63
  4. Step 4: Simplify right side
    214,575.64x = 36,685,904,587.00
  5. Step 5: Solve for x
    x = 36,685,904,587.00/214,575.64
  6. Step 6: Final answer
    x = 170,969.57

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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.