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Finding the Fourth Proportional to 142,151.64, 213,228.45 and 97,643.49

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Solution

The fourth proportional to 142,151.64, 213,228.45 and 97,643.49 is: 146,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,151.64 : 213,228.45 = 97,643.49 : x
  2. Step 2: Convert to fraction form
    142,151.64/213,228.45 = 97,643.49/x
  3. Step 3: Cross multiply
    142,151.64x = 213,228.45 × 97,643.49
  4. Step 4: Simplify right side
    142,151.64x = 20,820,370,025.29
  5. Step 5: Solve for x
    x = 20,820,370,025.29/142,151.64
  6. Step 6: Final answer
    x = 146,465.92

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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.