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Finding the Fourth Proportional to 216,643.83, 299,043.64 and 148,885.10

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Solution

The fourth proportional to 216,643.83, 299,043.64 and 148,885.10 is: 205,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,643.83 : 299,043.64 = 148,885.10 : x
  2. Step 2: Convert to fraction form
    216,643.83/299,043.64 = 148,885.10/x
  3. Step 3: Cross multiply
    216,643.83x = 299,043.64 × 148,885.10
  4. Step 4: Simplify right side
    216,643.83x = 44,523,142,245.76
  5. Step 5: Solve for x
    x = 44,523,142,245.76/216,643.83
  6. Step 6: Final answer
    x = 205,513.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.