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Finding the Fourth Proportional to 142,457.70, 213,686.55 and 142,457.70

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Solution

The fourth proportional to 142,457.70, 213,686.55 and 142,457.70 is: 213,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,457.70 : 213,686.55 = 142,457.70 : x
  2. Step 2: Convert to fraction form
    142,457.70/213,686.55 = 142,457.70/x
  3. Step 3: Cross multiply
    142,457.70x = 213,686.55 × 142,457.70
  4. Step 4: Simplify right side
    142,457.70x = 30,441,294,433.94
  5. Step 5: Solve for x
    x = 30,441,294,433.94/142,457.70
  6. Step 6: Final answer
    x = 213,686.55

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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.