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Finding the Fourth Proportional to 127,496.08, 191,283 and 65,210.32

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Solution

The fourth proportional to 127,496.08, 191,283 and 65,210.32 is: 97,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,496.08 : 191,283 = 65,210.32 : x
  2. Step 2: Convert to fraction form
    127,496.08/191,283 = 65,210.32/x
  3. Step 3: Cross multiply
    127,496.08x = 191,283 × 65,210.32
  4. Step 4: Simplify right side
    127,496.08x = 12,473,625,640.56
  5. Step 5: Solve for x
    x = 12,473,625,640.56/127,496.08
  6. Step 6: Final answer
    x = 97,835.37

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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.