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Finding the Fourth Proportional to 216,644.83, 299,045.02 and 148,886.10

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Solution

The fourth proportional to 216,644.83, 299,045.02 and 148,886.10 is: 205,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,644.83 : 299,045.02 = 148,886.10 : x
  2. Step 2: Convert to fraction form
    216,644.83/299,045.02 = 148,886.10/x
  3. Step 3: Cross multiply
    216,644.83x = 299,045.02 × 148,886.10
  4. Step 4: Simplify right side
    216,644.83x = 44,523,646,752.22
  5. Step 5: Solve for x
    x = 44,523,646,752.22/216,644.83
  6. Step 6: Final answer
    x = 205,514.47

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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.