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Finding the Fourth Proportional to 137,303.71, 205,583.87 and 97,157.68

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Solution

The fourth proportional to 137,303.71, 205,583.87 and 97,157.68 is: 145,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,303.71 : 205,583.87 = 97,157.68 : x
  2. Step 2: Convert to fraction form
    137,303.71/205,583.87 = 97,157.68/x
  3. Step 3: Cross multiply
    137,303.71x = 205,583.87 × 97,157.68
  4. Step 4: Simplify right side
    137,303.71x = 19,974,051,854.62
  5. Step 5: Solve for x
    x = 19,974,051,854.62/137,303.71
  6. Step 6: Final answer
    x = 145,473.50

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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.