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Finding the Fourth Proportional to 119,389.50, 164,773.38 and 77,071.02

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Solution

The fourth proportional to 119,389.50, 164,773.38 and 77,071.02 is: 106,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,389.50 : 164,773.38 = 77,071.02 : x
  2. Step 2: Convert to fraction form
    119,389.50/164,773.38 = 77,071.02/x
  3. Step 3: Cross multiply
    119,389.50x = 164,773.38 × 77,071.02
  4. Step 4: Simplify right side
    119,389.50x = 12,699,252,465.45
  5. Step 5: Solve for x
    x = 12,699,252,465.45/119,389.50
  6. Step 6: Final answer
    x = 106,368.25

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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.