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Finding the Fourth Proportional to 229,085.82, 316,138.34 and 133,574.06

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Solution

The fourth proportional to 229,085.82, 316,138.34 and 133,574.06 is: 184,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,085.82 : 316,138.34 = 133,574.06 : x
  2. Step 2: Convert to fraction form
    229,085.82/316,138.34 = 133,574.06/x
  3. Step 3: Cross multiply
    229,085.82x = 316,138.34 × 133,574.06
  4. Step 4: Simplify right side
    229,085.82x = 42,227,882,719.74
  5. Step 5: Solve for x
    x = 42,227,882,719.74/229,085.82
  6. Step 6: Final answer
    x = 184,332.15

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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.