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Finding the Fourth Proportional to 99,348, 149,022.36 and 94,364.88

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Solution

The fourth proportional to 99,348, 149,022.36 and 94,364.88 is: 141,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,348 : 149,022.36 = 94,364.88 : x
  2. Step 2: Convert to fraction form
    99,348/149,022.36 = 94,364.88/x
  3. Step 3: Cross multiply
    99,348x = 149,022.36 × 94,364.88
  4. Step 4: Simplify right side
    99,348x = 14,062,477,118.72
  5. Step 5: Solve for x
    x = 14,062,477,118.72/99,348
  6. Step 6: Final answer
    x = 141,547.66

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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.