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Finding the Fourth Proportional to 214,950.71, 296,632.13 and 119,457.38

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Solution

The fourth proportional to 214,950.71, 296,632.13 and 119,457.38 is: 164,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,950.71 : 296,632.13 = 119,457.38 : x
  2. Step 2: Convert to fraction form
    214,950.71/296,632.13 = 119,457.38/x
  3. Step 3: Cross multiply
    214,950.71x = 296,632.13 × 119,457.38
  4. Step 4: Simplify right side
    214,950.71x = 35,434,897,217.91
  5. Step 5: Solve for x
    x = 35,434,897,217.91/214,950.71
  6. Step 6: Final answer
    x = 164,851.27

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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.