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Finding the Fourth Proportional to 152,051.23, 209,822.21 and 84,064.24

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Solution

The fourth proportional to 152,051.23, 209,822.21 and 84,064.24 is: 116,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,051.23 : 209,822.21 = 84,064.24 : x
  2. Step 2: Convert to fraction form
    152,051.23/209,822.21 = 84,064.24/x
  3. Step 3: Cross multiply
    152,051.23x = 209,822.21 × 84,064.24
  4. Step 4: Simplify right side
    152,051.23x = 17,638,544,618.77
  5. Step 5: Solve for x
    x = 17,638,544,618.77/152,051.23
  6. Step 6: Final answer
    x = 116,003.96

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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.