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Finding the Fourth Proportional to 164,998.68, 227,698.74 and 89,547.16

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Solution

The fourth proportional to 164,998.68, 227,698.74 and 89,547.16 is: 123,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,998.68 : 227,698.74 = 89,547.16 : x
  2. Step 2: Convert to fraction form
    164,998.68/227,698.74 = 89,547.16/x
  3. Step 3: Cross multiply
    164,998.68x = 227,698.74 × 89,547.16
  4. Step 4: Simplify right side
    164,998.68x = 20,389,775,502.58
  5. Step 5: Solve for x
    x = 20,389,775,502.58/164,998.68
  6. Step 6: Final answer
    x = 123,575.39

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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.