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Finding the Fourth Proportional to 152,491.17, 210,452.47 and 84,522.86

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Solution

The fourth proportional to 152,491.17, 210,452.47 and 84,522.86 is: 116,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,491.17 : 210,452.47 = 84,522.86 : x
  2. Step 2: Convert to fraction form
    152,491.17/210,452.47 = 84,522.86/x
  3. Step 3: Cross multiply
    152,491.17x = 210,452.47 × 84,522.86
  4. Step 4: Simplify right side
    152,491.17x = 17,788,043,394.89
  5. Step 5: Solve for x
    x = 17,788,043,394.89/152,491.17
  6. Step 6: Final answer
    x = 116,649.66

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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.