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Finding the Fourth Proportional to 189,714.51, 261,802.84 and 103,671.60

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Solution

The fourth proportional to 189,714.51, 261,802.84 and 103,671.60 is: 143,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714.51 : 261,802.84 = 103,671.60 : x
  2. Step 2: Convert to fraction form
    189,714.51/261,802.84 = 103,671.60/x
  3. Step 3: Cross multiply
    189,714.51x = 261,802.84 × 103,671.60
  4. Step 4: Simplify right side
    189,714.51x = 27,141,519,307.34
  5. Step 5: Solve for x
    x = 27,141,519,307.34/189,714.51
  6. Step 6: Final answer
    x = 143,065.07

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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.