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Finding the Fourth Proportional to 138,111.34, 190,599.34 and 77,684.80

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Solution

The fourth proportional to 138,111.34, 190,599.34 and 77,684.80 is: 107,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,111.34 : 190,599.34 = 77,684.80 : x
  2. Step 2: Convert to fraction form
    138,111.34/190,599.34 = 77,684.80/x
  3. Step 3: Cross multiply
    138,111.34x = 190,599.34 × 77,684.80
  4. Step 4: Simplify right side
    138,111.34x = 14,806,671,608.03
  5. Step 5: Solve for x
    x = 14,806,671,608.03/138,111.34
  6. Step 6: Final answer
    x = 107,208.22

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1.5x scale

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.