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Finding the Fourth Proportional to 207,259, 286,017.42 and 117,835

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Solution

The fourth proportional to 207,259, 286,017.42 and 117,835 is: 162,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,259 : 286,017.42 = 117,835 : x
  2. Step 2: Convert to fraction form
    207,259/286,017.42 = 117,835/x
  3. Step 3: Cross multiply
    207,259x = 286,017.42 × 117,835
  4. Step 4: Simplify right side
    207,259x = 33,702,862,685.70
  5. Step 5: Solve for x
    x = 33,702,862,685.70/207,259
  6. Step 6: Final answer
    x = 162,612.30

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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.