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Finding the Fourth Proportional to 207,259.20, 286,017.70 and 117,835.20

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Solution

The fourth proportional to 207,259.20, 286,017.70 and 117,835.20 is: 162,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,259.20 : 286,017.70 = 117,835.20 : x
  2. Step 2: Convert to fraction form
    207,259.20/286,017.70 = 117,835.20/x
  3. Step 3: Cross multiply
    207,259.20x = 286,017.70 × 117,835.20
  4. Step 4: Simplify right side
    207,259.20x = 33,702,952,883.04
  5. Step 5: Solve for x
    x = 33,702,952,883.04/207,259.20
  6. Step 6: Final answer
    x = 162,612.58

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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.