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Finding the Fourth Proportional to 214,718.61, 296,310.06 and 119,225.64

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Solution

The fourth proportional to 214,718.61, 296,310.06 and 119,225.64 is: 164,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,718.61 : 296,310.06 = 119,225.64 : x
  2. Step 2: Convert to fraction form
    214,718.61/296,310.06 = 119,225.64/x
  3. Step 3: Cross multiply
    214,718.61x = 296,310.06 × 119,225.64
  4. Step 4: Simplify right side
    214,718.61x = 35,327,756,541.94
  5. Step 5: Solve for x
    x = 35,327,756,541.94/214,718.61
  6. Step 6: Final answer
    x = 164,530.48

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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.