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Finding the Fourth Proportional to 210,038.44, 289,870.24 and 119,422.84

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Solution

The fourth proportional to 210,038.44, 289,870.24 and 119,422.84 is: 164,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,038.44 : 289,870.24 = 119,422.84 : x
  2. Step 2: Convert to fraction form
    210,038.44/289,870.24 = 119,422.84/x
  3. Step 3: Cross multiply
    210,038.44x = 289,870.24 × 119,422.84
  4. Step 4: Simplify right side
    210,038.44x = 34,617,127,292.28
  5. Step 5: Solve for x
    x = 34,617,127,292.28/210,038.44
  6. Step 6: Final answer
    x = 164,813.29

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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.