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Finding the Fourth Proportional to 210,038.32, 289,859.92 and 114,550.24

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Solution

The fourth proportional to 210,038.32, 289,859.92 and 114,550.24 is: 158,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,038.32 : 289,859.92 = 114,550.24 : x
  2. Step 2: Convert to fraction form
    210,038.32/289,859.92 = 114,550.24/x
  3. Step 3: Cross multiply
    210,038.32x = 289,859.92 × 114,550.24
  4. Step 4: Simplify right side
    210,038.32x = 33,203,523,402.38
  5. Step 5: Solve for x
    x = 33,203,523,402.38/210,038.32
  6. Step 6: Final answer
    x = 158,083.17

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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.