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Finding the Fourth Proportional to 210,886.49, 316,329.72 and 105,680.84

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Solution

The fourth proportional to 210,886.49, 316,329.72 and 105,680.84 is: 158,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,886.49 : 316,329.72 = 105,680.84 : x
  2. Step 2: Convert to fraction form
    210,886.49/316,329.72 = 105,680.84/x
  3. Step 3: Cross multiply
    210,886.49x = 316,329.72 × 105,680.84
  4. Step 4: Simplify right side
    210,886.49x = 33,429,990,526.56
  5. Step 5: Solve for x
    x = 33,429,990,526.56/210,886.49
  6. Step 6: Final answer
    x = 158,521.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.