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Finding the Fourth Proportional to 201,547.93, 278,135.82 and 110,909.74

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Solution

The fourth proportional to 201,547.93, 278,135.82 and 110,909.74 is: 153,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,547.93 : 278,135.82 = 110,909.74 : x
  2. Step 2: Convert to fraction form
    201,547.93/278,135.82 = 110,909.74/x
  3. Step 3: Cross multiply
    201,547.93x = 278,135.82 × 110,909.74
  4. Step 4: Simplify right side
    201,547.93x = 30,847,971,480.89
  5. Step 5: Solve for x
    x = 30,847,971,480.89/201,547.93
  6. Step 6: Final answer
    x = 153,055.26

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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.