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Finding the Fourth Proportional to 97,078, 133,931.28 and 56,778.88

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Solution

The fourth proportional to 97,078, 133,931.28 and 56,778.88 is: 78,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078 : 133,931.28 = 56,778.88 : x
  2. Step 2: Convert to fraction form
    97,078/133,931.28 = 56,778.88/x
  3. Step 3: Cross multiply
    97,078x = 133,931.28 × 56,778.88
  4. Step 4: Simplify right side
    97,078x = 7,604,468,075.37
  5. Step 5: Solve for x
    x = 7,604,468,075.37/97,078
  6. Step 6: Final answer
    x = 78,333.59

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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.