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Finding the Fourth Proportional to 210,045.64, 289,859.92 and 114,552.12

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Solution

The fourth proportional to 210,045.64, 289,859.92 and 114,552.12 is: 158,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,045.64 : 289,859.92 = 114,552.12 : x
  2. Step 2: Convert to fraction form
    210,045.64/289,859.92 = 114,552.12/x
  3. Step 3: Cross multiply
    210,045.64x = 289,859.92 × 114,552.12
  4. Step 4: Simplify right side
    210,045.64x = 33,204,068,339.03
  5. Step 5: Solve for x
    x = 33,204,068,339.03/210,045.64
  6. Step 6: Final answer
    x = 158,080.26

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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.