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Finding the Fourth Proportional to 102,408.95, 141,266.47 and 64,102.01

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Solution

The fourth proportional to 102,408.95, 141,266.47 and 64,102.01 is: 88,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408.95 : 141,266.47 = 64,102.01 : x
  2. Step 2: Convert to fraction form
    102,408.95/141,266.47 = 64,102.01/x
  3. Step 3: Cross multiply
    102,408.95x = 141,266.47 × 64,102.01
  4. Step 4: Simplify right side
    102,408.95x = 9,055,463,966.27
  5. Step 5: Solve for x
    x = 9,055,463,966.27/102,408.95
  6. Step 6: Final answer
    x = 88,424.53

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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.