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Finding the Fourth Proportional to 253,678.72, 350,075.76 and 146,248.24

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Solution

The fourth proportional to 253,678.72, 350,075.76 and 146,248.24 is: 201,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,678.72 : 350,075.76 = 146,248.24 : x
  2. Step 2: Convert to fraction form
    253,678.72/350,075.76 = 146,248.24/x
  3. Step 3: Cross multiply
    253,678.72x = 350,075.76 × 146,248.24
  4. Step 4: Simplify right side
    253,678.72x = 51,197,963,766.66
  5. Step 5: Solve for x
    x = 51,197,963,766.66/253,678.72
  6. Step 6: Final answer
    x = 201,822.07

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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.