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Finding the Fourth Proportional to 219,656.16, 303,125.76 and 119,054.16

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Solution

The fourth proportional to 219,656.16, 303,125.76 and 119,054.16 is: 164,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,656.16 : 303,125.76 = 119,054.16 : x
  2. Step 2: Convert to fraction form
    219,656.16/303,125.76 = 119,054.16/x
  3. Step 3: Cross multiply
    219,656.16x = 303,125.76 × 119,054.16
  4. Step 4: Simplify right side
    219,656.16x = 36,088,382,731.16
  5. Step 5: Solve for x
    x = 36,088,382,731.16/219,656.16
  6. Step 6: Final answer
    x = 164,294.88

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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.