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Finding the Fourth Proportional to 191,729.40, 287,885.70 and 147,406.20

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Solution

The fourth proportional to 191,729.40, 287,885.70 and 147,406.20 is: 221,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,729.40 : 287,885.70 = 147,406.20 : x
  2. Step 2: Convert to fraction form
    191,729.40/287,885.70 = 147,406.20/x
  3. Step 3: Cross multiply
    191,729.40x = 287,885.70 × 147,406.20
  4. Step 4: Simplify right side
    191,729.40x = 42,436,137,071.34
  5. Step 5: Solve for x
    x = 42,436,137,071.34/191,729.40
  6. Step 6: Final answer
    x = 221,333.49

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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.