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Finding the Fourth Proportional to 210,315.80, 315,473.70 and 121,742.30

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Solution

The fourth proportional to 210,315.80, 315,473.70 and 121,742.30 is: 182,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,315.80 : 315,473.70 = 121,742.30 : x
  2. Step 2: Convert to fraction form
    210,315.80/315,473.70 = 121,742.30/x
  3. Step 3: Cross multiply
    210,315.80x = 315,473.70 × 121,742.30
  4. Step 4: Simplify right side
    210,315.80x = 38,406,493,827.51
  5. Step 5: Solve for x
    x = 38,406,493,827.51/210,315.80
  6. Step 6: Final answer
    x = 182,613.45

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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.