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Finding the Fourth Proportional to 191,424.25, 264,165.47 and 106,539.49

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Solution

The fourth proportional to 191,424.25, 264,165.47 and 106,539.49 is: 147,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,424.25 : 264,165.47 = 106,539.49 : x
  2. Step 2: Convert to fraction form
    191,424.25/264,165.47 = 106,539.49/x
  3. Step 3: Cross multiply
    191,424.25x = 264,165.47 × 106,539.49
  4. Step 4: Simplify right side
    191,424.25x = 28,144,054,449.41
  5. Step 5: Solve for x
    x = 28,144,054,449.41/191,424.25
  6. Step 6: Final answer
    x = 147,024.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.