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Finding the Fourth Proportional to 102,897.36, 141,988.32 and 57,572.64

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Solution

The fourth proportional to 102,897.36, 141,988.32 and 57,572.64 is: 79,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,897.36 : 141,988.32 = 57,572.64 : x
  2. Step 2: Convert to fraction form
    102,897.36/141,988.32 = 57,572.64/x
  3. Step 3: Cross multiply
    102,897.36x = 141,988.32 × 57,572.64
  4. Step 4: Simplify right side
    102,897.36x = 8,174,642,431.56
  5. Step 5: Solve for x
    x = 8,174,642,431.56/102,897.36
  6. Step 6: Final answer
    x = 79,444.63

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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.