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Finding the Fourth Proportional to 152,423.72, 210,274.84 and 98,726

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Solution

The fourth proportional to 152,423.72, 210,274.84 and 98,726 is: 136,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,423.72 : 210,274.84 = 98,726 : x
  2. Step 2: Convert to fraction form
    152,423.72/210,274.84 = 98,726/x
  3. Step 3: Cross multiply
    152,423.72x = 210,274.84 × 98,726
  4. Step 4: Simplify right side
    152,423.72x = 20,759,593,853.84
  5. Step 5: Solve for x
    x = 20,759,593,853.84/152,423.72
  6. Step 6: Final answer
    x = 136,196.61

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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.