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Finding the Fourth Proportional to 207,259.07, 286,017.51 and 117,835.07

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Solution

The fourth proportional to 207,259.07, 286,017.51 and 117,835.07 is: 162,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,259.07 : 286,017.51 = 117,835.07 : x
  2. Step 2: Convert to fraction form
    207,259.07/286,017.51 = 117,835.07/x
  3. Step 3: Cross multiply
    207,259.07x = 286,017.51 × 117,835.07
  4. Step 4: Simplify right side
    207,259.07x = 33,702,893,312.08
  5. Step 5: Solve for x
    x = 33,702,893,312.08/207,259.07
  6. Step 6: Final answer
    x = 162,612.39

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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.