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Finding the Fourth Proportional to 230,058.90, 317,747.16 and 153,444.96

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Solution

The fourth proportional to 230,058.90, 317,747.16 and 153,444.96 is: 211,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,058.90 : 317,747.16 = 153,444.96 : x
  2. Step 2: Convert to fraction form
    230,058.90/317,747.16 = 153,444.96/x
  3. Step 3: Cross multiply
    230,058.90x = 317,747.16 × 153,444.96
  4. Step 4: Simplify right side
    230,058.90x = 48,756,700,256.31
  5. Step 5: Solve for x
    x = 48,756,700,256.31/230,058.90
  6. Step 6: Final answer
    x = 211,931.38

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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.