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Finding the Fourth Proportional to 210,005.80, 314,571.30 and 175,013.80

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Solution

The fourth proportional to 210,005.80, 314,571.30 and 175,013.80 is: 262,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005.80 : 314,571.30 = 175,013.80 : x
  2. Step 2: Convert to fraction form
    210,005.80/314,571.30 = 175,013.80/x
  3. Step 3: Cross multiply
    210,005.80x = 314,571.30 × 175,013.80
  4. Step 4: Simplify right side
    210,005.80x = 55,054,318,583.94
  5. Step 5: Solve for x
    x = 55,054,318,583.94/210,005.80
  6. Step 6: Final answer
    x = 262,156.18

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1.5x scale

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.