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Finding the Fourth Proportional to 191,357.64, 264,083.90 and 106,476.53

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Solution

The fourth proportional to 191,357.64, 264,083.90 and 106,476.53 is: 146,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,357.64 : 264,083.90 = 106,476.53 : x
  2. Step 2: Convert to fraction form
    191,357.64/264,083.90 = 106,476.53/x
  3. Step 3: Cross multiply
    191,357.64x = 264,083.90 × 106,476.53
  4. Step 4: Simplify right side
    191,357.64x = 28,118,735,448.06
  5. Step 5: Solve for x
    x = 28,118,735,448.06/191,357.64
  6. Step 6: Final answer
    x = 146,943.36

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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.