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Finding the Fourth Proportional to 207,308.16, 310,910.40 and 59,564.16

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Solution

The fourth proportional to 207,308.16, 310,910.40 and 59,564.16 is: 89,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,308.16 : 310,910.40 = 59,564.16 : x
  2. Step 2: Convert to fraction form
    207,308.16/310,910.40 = 59,564.16/x
  3. Step 3: Cross multiply
    207,308.16x = 310,910.40 × 59,564.16
  4. Step 4: Simplify right side
    207,308.16x = 18,519,116,811.26
  5. Step 5: Solve for x
    x = 18,519,116,811.26/207,308.16
  6. Step 6: Final answer
    x = 89,331.35

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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.