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Finding the Fourth Proportional to 210,308.16, 315,464.32 and 62,564.16

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Solution

The fourth proportional to 210,308.16, 315,464.32 and 62,564.16 is: 93,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,308.16 : 315,464.32 = 62,564.16 : x
  2. Step 2: Convert to fraction form
    210,308.16/315,464.32 = 62,564.16/x
  3. Step 3: Cross multiply
    210,308.16x = 315,464.32 × 62,564.16
  4. Step 4: Simplify right side
    210,308.16x = 19,736,760,190.77
  5. Step 5: Solve for x
    x = 19,736,760,190.77/210,308.16
  6. Step 6: Final answer
    x = 93,846.86

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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.