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Finding the Fourth Proportional to 152,284.34, 210,149.89 and 84,299.89

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Solution

The fourth proportional to 152,284.34, 210,149.89 and 84,299.89 is: 116,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,284.34 : 210,149.89 = 84,299.89 : x
  2. Step 2: Convert to fraction form
    152,284.34/210,149.89 = 84,299.89/x
  3. Step 3: Cross multiply
    152,284.34x = 210,149.89 × 84,299.89
  4. Step 4: Simplify right side
    152,284.34x = 17,715,612,610.51
  5. Step 5: Solve for x
    x = 17,715,612,610.51/152,284.34
  6. Step 6: Final answer
    x = 116,332.46

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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.