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Finding the Fourth Proportional to 152,535, 210,498.36 and 92,919

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Solution

The fourth proportional to 152,535, 210,498.36 and 92,919 is: 128,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,535 : 210,498.36 = 92,919 : x
  2. Step 2: Convert to fraction form
    152,535/210,498.36 = 92,919/x
  3. Step 3: Cross multiply
    152,535x = 210,498.36 × 92,919
  4. Step 4: Simplify right side
    152,535x = 19,559,297,112.84
  5. Step 5: Solve for x
    x = 19,559,297,112.84/152,535
  6. Step 6: Final answer
    x = 128,228.26

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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.