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Finding the Fourth Proportional to 210,444, 290,410.98 and 114,950.76

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Solution

The fourth proportional to 210,444, 290,410.98 and 114,950.76 is: 158,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,444 : 290,410.98 = 114,950.76 : x
  2. Step 2: Convert to fraction form
    210,444/290,410.98 = 114,950.76/x
  3. Step 3: Cross multiply
    210,444x = 290,410.98 × 114,950.76
  4. Step 4: Simplify right side
    210,444x = 33,382,962,863.34
  5. Step 5: Solve for x
    x = 33,382,962,863.34/210,444
  6. Step 6: Final answer
    x = 158,631.10

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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.