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Finding the Fourth Proportional to 189,886.93, 262,038.77 and 105,001.09

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Solution

The fourth proportional to 189,886.93, 262,038.77 and 105,001.09 is: 144,898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,886.93 : 262,038.77 = 105,001.09 : x
  2. Step 2: Convert to fraction form
    189,886.93/262,038.77 = 105,001.09/x
  3. Step 3: Cross multiply
    189,886.93x = 262,038.77 × 105,001.09
  4. Step 4: Simplify right side
    189,886.93x = 27,514,356,472.26
  5. Step 5: Solve for x
    x = 27,514,356,472.26/189,886.93
  6. Step 6: Final answer
    x = 144,898.63

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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.