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Finding the Fourth Proportional to 100,506.36, 138,670.47 and 64,717.08

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Solution

The fourth proportional to 100,506.36, 138,670.47 and 64,717.08 is: 89,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,506.36 : 138,670.47 = 64,717.08 : x
  2. Step 2: Convert to fraction form
    100,506.36/138,670.47 = 64,717.08/x
  3. Step 3: Cross multiply
    100,506.36x = 138,670.47 × 64,717.08
  4. Step 4: Simplify right side
    100,506.36x = 8,974,347,900.63
  5. Step 5: Solve for x
    x = 8,974,347,900.63/100,506.36
  6. Step 6: Final answer
    x = 89,291.34

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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.