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Finding the Fourth Proportional to 102,616.51, 153,924.77 and 74,714.13

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Solution

The fourth proportional to 102,616.51, 153,924.77 and 74,714.13 is: 112,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,616.51 : 153,924.77 = 74,714.13 : x
  2. Step 2: Convert to fraction form
    102,616.51/153,924.77 = 74,714.13/x
  3. Step 3: Cross multiply
    102,616.51x = 153,924.77 × 74,714.13
  4. Step 4: Simplify right side
    102,616.51x = 11,500,355,276.00
  5. Step 5: Solve for x
    x = 11,500,355,276.00/102,616.51
  6. Step 6: Final answer
    x = 112,071.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.