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Finding the Fourth Proportional to 335,178.54, 502,931.70 and 157,703.22

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Solution

The fourth proportional to 335,178.54, 502,931.70 and 157,703.22 is: 236,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,178.54 : 502,931.70 = 157,703.22 : x
  2. Step 2: Convert to fraction form
    335,178.54/502,931.70 = 157,703.22/x
  3. Step 3: Cross multiply
    335,178.54x = 502,931.70 × 157,703.22
  4. Step 4: Simplify right side
    335,178.54x = 79,313,948,530.07
  5. Step 5: Solve for x
    x = 79,313,948,530.07/335,178.54
  6. Step 6: Final answer
    x = 236,631.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.