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Finding the Fourth Proportional to 253,802.44, 350,290.74 and 146,353.24

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Solution

The fourth proportional to 253,802.44, 350,290.74 and 146,353.24 is: 201,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,802.44 : 350,290.74 = 146,353.24 : x
  2. Step 2: Convert to fraction form
    253,802.44/350,290.74 = 146,353.24/x
  3. Step 3: Cross multiply
    253,802.44x = 350,290.74 × 146,353.24
  4. Step 4: Simplify right side
    253,802.44x = 51,266,184,741.00
  5. Step 5: Solve for x
    x = 51,266,184,741.00/253,802.44
  6. Step 6: Final answer
    x = 201,992.48

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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.