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Finding the Fourth Proportional to 259,281, 357,839.46 and 146,124.36

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Solution

The fourth proportional to 259,281, 357,839.46 and 146,124.36 is: 201,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,281 : 357,839.46 = 146,124.36 : x
  2. Step 2: Convert to fraction form
    259,281/357,839.46 = 146,124.36/x
  3. Step 3: Cross multiply
    259,281x = 357,839.46 × 146,124.36
  4. Step 4: Simplify right side
    259,281x = 52,289,062,075.25
  5. Step 5: Solve for x
    x = 52,289,062,075.25/259,281
  6. Step 6: Final answer
    x = 201,669.47

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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.