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Finding the Fourth Proportional to 134,533, 185,655.54 and 77,977.18

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Solution

The fourth proportional to 134,533, 185,655.54 and 77,977.18 is: 107,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,533 : 185,655.54 = 77,977.18 : x
  2. Step 2: Convert to fraction form
    134,533/185,655.54 = 77,977.18/x
  3. Step 3: Cross multiply
    134,533x = 185,655.54 × 77,977.18
  4. Step 4: Simplify right side
    134,533x = 14,476,895,460.58
  5. Step 5: Solve for x
    x = 14,476,895,460.58/134,533
  6. Step 6: Final answer
    x = 107,608.51

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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.