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Finding the Fourth Proportional to 133,276, 199,758.48 and 74,083.36

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Solution

The fourth proportional to 133,276, 199,758.48 and 74,083.36 is: 111,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,276 : 199,758.48 = 74,083.36 : x
  2. Step 2: Convert to fraction form
    133,276/199,758.48 = 74,083.36/x
  3. Step 3: Cross multiply
    133,276x = 199,758.48 × 74,083.36
  4. Step 4: Simplify right side
    133,276x = 14,798,779,386.89
  5. Step 5: Solve for x
    x = 14,798,779,386.89/133,276
  6. Step 6: Final answer
    x = 111,038.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.