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Finding the Fourth Proportional to 286,246.91, 429,567.18 and 99,258.41

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Solution

The fourth proportional to 286,246.91, 429,567.18 and 99,258.41 is: 148,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,246.91 : 429,567.18 = 99,258.41 : x
  2. Step 2: Convert to fraction form
    286,246.91/429,567.18 = 99,258.41/x
  3. Step 3: Cross multiply
    286,246.91x = 429,567.18 × 99,258.41
  4. Step 4: Simplify right side
    286,246.91x = 42,638,156,348.90
  5. Step 5: Solve for x
    x = 42,638,156,348.90/286,246.91
  6. Step 6: Final answer
    x = 148,955.86

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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.