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Finding the Fourth Proportional to 180,215.19, 248,686.90 and 99,638.01

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Solution

The fourth proportional to 180,215.19, 248,686.90 and 99,638.01 is: 137,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,215.19 : 248,686.90 = 99,638.01 : x
  2. Step 2: Convert to fraction form
    180,215.19/248,686.90 = 99,638.01/x
  3. Step 3: Cross multiply
    180,215.19x = 248,686.90 × 99,638.01
  4. Step 4: Simplify right side
    180,215.19x = 24,778,667,829.07
  5. Step 5: Solve for x
    x = 24,778,667,829.07/180,215.19
  6. Step 6: Final answer
    x = 137,494.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.