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Finding the Fourth Proportional to 210,973.80, 316,462.02 and 86,314.80

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Solution

The fourth proportional to 210,973.80, 316,462.02 and 86,314.80 is: 129,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,973.80 : 316,462.02 = 86,314.80 : x
  2. Step 2: Convert to fraction form
    210,973.80/316,462.02 = 86,314.80/x
  3. Step 3: Cross multiply
    210,973.80x = 316,462.02 × 86,314.80
  4. Step 4: Simplify right side
    210,973.80x = 27,315,355,963.90
  5. Step 5: Solve for x
    x = 27,315,355,963.90/210,973.80
  6. Step 6: Final answer
    x = 129,472.74

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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.