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Finding the Fourth Proportional to 210,005.94, 289,801.80 and 114,514.50

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Solution

The fourth proportional to 210,005.94, 289,801.80 and 114,514.50 is: 158,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005.94 : 289,801.80 = 114,514.50 : x
  2. Step 2: Convert to fraction form
    210,005.94/289,801.80 = 114,514.50/x
  3. Step 3: Cross multiply
    210,005.94x = 289,801.80 × 114,514.50
  4. Step 4: Simplify right side
    210,005.94x = 33,186,508,226.10
  5. Step 5: Solve for x
    x = 33,186,508,226.10/210,005.94
  6. Step 6: Final answer
    x = 158,026.52

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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.