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Finding the Fourth Proportional to 226,312.38, 312,054.84 and 144,533.16

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Solution

The fourth proportional to 226,312.38, 312,054.84 and 144,533.16 is: 199,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,312.38 : 312,054.84 = 144,533.16 : x
  2. Step 2: Convert to fraction form
    226,312.38/312,054.84 = 144,533.16/x
  3. Step 3: Cross multiply
    226,312.38x = 312,054.84 × 144,533.16
  4. Step 4: Simplify right side
    226,312.38x = 45,102,272,118.49
  5. Step 5: Solve for x
    x = 45,102,272,118.49/226,312.38
  6. Step 6: Final answer
    x = 199,292.11

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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.