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Finding the Fourth Proportional to 101,346, 139,866.12 and 56,642.64

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Solution

The fourth proportional to 101,346, 139,866.12 and 56,642.64 is: 78,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,346 : 139,866.12 = 56,642.64 : x
  2. Step 2: Convert to fraction form
    101,346/139,866.12 = 56,642.64/x
  3. Step 3: Cross multiply
    101,346x = 139,866.12 × 56,642.64
  4. Step 4: Simplify right side
    101,346x = 7,922,386,283.36
  5. Step 5: Solve for x
    x = 7,922,386,283.36/101,346
  6. Step 6: Final answer
    x = 78,171.67

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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.