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Finding the Fourth Proportional to 122,643.30, 169,209.72 and 71,619.24

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Solution

The fourth proportional to 122,643.30, 169,209.72 and 71,619.24 is: 98,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,643.30 : 169,209.72 = 71,619.24 : x
  2. Step 2: Convert to fraction form
    122,643.30/169,209.72 = 71,619.24/x
  3. Step 3: Cross multiply
    122,643.30x = 169,209.72 × 71,619.24
  4. Step 4: Simplify right side
    122,643.30x = 12,118,671,547.01
  5. Step 5: Solve for x
    x = 12,118,671,547.01/122,643.30
  6. Step 6: Final answer
    x = 98,812.34

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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.