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Finding the Fourth Proportional to 76,140, 114,074.32 and 64,932.98

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Solution

The fourth proportional to 76,140, 114,074.32 and 64,932.98 is: 97,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140 : 114,074.32 = 64,932.98 : x
  2. Step 2: Convert to fraction form
    76,140/114,074.32 = 64,932.98/x
  3. Step 3: Cross multiply
    76,140x = 114,074.32 × 64,932.98
  4. Step 4: Simplify right side
    76,140x = 7,407,185,539.07
  5. Step 5: Solve for x
    x = 7,407,185,539.07/76,140
  6. Step 6: Final answer
    x = 97,283.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.