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Finding the Fourth Proportional to 210,309.16, 315,465.82 and 62,565.16

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Solution

The fourth proportional to 210,309.16, 315,465.82 and 62,565.16 is: 93,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,309.16 : 315,465.82 = 62,565.16 : x
  2. Step 2: Convert to fraction form
    210,309.16/315,465.82 = 62,565.16/x
  3. Step 3: Cross multiply
    210,309.16x = 315,465.82 × 62,565.16
  4. Step 4: Simplify right side
    210,309.16x = 19,737,169,502.83
  5. Step 5: Solve for x
    x = 19,737,169,502.83/210,309.16
  6. Step 6: Final answer
    x = 93,848.36

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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.