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Finding the Fourth Proportional to 133,070.32, 199,547.16 and 49,906

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Solution

The fourth proportional to 133,070.32, 199,547.16 and 49,906 is: 74,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070.32 : 199,547.16 = 49,906 : x
  2. Step 2: Convert to fraction form
    133,070.32/199,547.16 = 49,906/x
  3. Step 3: Cross multiply
    133,070.32x = 199,547.16 × 49,906
  4. Step 4: Simplify right side
    133,070.32x = 9,958,600,566.96
  5. Step 5: Solve for x
    x = 9,958,600,566.96/133,070.32
  6. Step 6: Final answer
    x = 74,837.13

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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.