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Finding the Fourth Proportional to 214,807.13, 296,433.86 and 119,322.71

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Solution

The fourth proportional to 214,807.13, 296,433.86 and 119,322.71 is: 164,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,807.13 : 296,433.86 = 119,322.71 : x
  2. Step 2: Convert to fraction form
    214,807.13/296,433.86 = 119,322.71/x
  3. Step 3: Cross multiply
    214,807.13x = 296,433.86 × 119,322.71
  4. Step 4: Simplify right side
    214,807.13x = 35,371,289,432.18
  5. Step 5: Solve for x
    x = 35,371,289,432.18/214,807.13
  6. Step 6: Final answer
    x = 164,665.35

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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.