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Finding the Fourth Proportional to 290,178.40, 435,004.98 and 103,146.16

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Solution

The fourth proportional to 290,178.40, 435,004.98 and 103,146.16 is: 154,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,178.40 : 435,004.98 = 103,146.16 : x
  2. Step 2: Convert to fraction form
    290,178.40/435,004.98 = 103,146.16/x
  3. Step 3: Cross multiply
    290,178.40x = 435,004.98 × 103,146.16
  4. Step 4: Simplify right side
    290,178.40x = 44,869,093,267.88
  5. Step 5: Solve for x
    x = 44,869,093,267.88/290,178.40
  6. Step 6: Final answer
    x = 154,625.89

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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.