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Finding the Fourth Proportional to 434,153.30, 651,293.01 and 134,658

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Solution

The fourth proportional to 434,153.30, 651,293.01 and 134,658 is: 202,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,153.30 : 651,293.01 = 134,658 : x
  2. Step 2: Convert to fraction form
    434,153.30/651,293.01 = 134,658/x
  3. Step 3: Cross multiply
    434,153.30x = 651,293.01 × 134,658
  4. Step 4: Simplify right side
    434,153.30x = 87,701,814,140.58
  5. Step 5: Solve for x
    x = 87,701,814,140.58/434,153.30
  6. Step 6: Final answer
    x = 202,006.56

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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.