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Finding the Fourth Proportional to 216,384.32, 298,726.08 and 144,886.16

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Solution

The fourth proportional to 216,384.32, 298,726.08 and 144,886.16 is: 200,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,384.32 : 298,726.08 = 144,886.16 : x
  2. Step 2: Convert to fraction form
    216,384.32/298,726.08 = 144,886.16/x
  3. Step 3: Cross multiply
    216,384.32x = 298,726.08 × 144,886.16
  4. Step 4: Simplify right side
    216,384.32x = 43,281,274,623.05
  5. Step 5: Solve for x
    x = 43,281,274,623.05/216,384.32
  6. Step 6: Final answer
    x = 200,020.38

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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.