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Finding the Fourth Proportional to 128,567.16, 177,363.77 and 83,259.74

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Solution

The fourth proportional to 128,567.16, 177,363.77 and 83,259.74 is: 114,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,567.16 : 177,363.77 = 83,259.74 : x
  2. Step 2: Convert to fraction form
    128,567.16/177,363.77 = 83,259.74/x
  3. Step 3: Cross multiply
    128,567.16x = 177,363.77 × 83,259.74
  4. Step 4: Simplify right side
    128,567.16x = 14,767,261,402.73
  5. Step 5: Solve for x
    x = 14,767,261,402.73/128,567.16
  6. Step 6: Final answer
    x = 114,860.29

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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.