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Finding the Fourth Proportional to 207,303.96, 286,076 and 116,659.82

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Solution

The fourth proportional to 207,303.96, 286,076 and 116,659.82 is: 160,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,303.96 : 286,076 = 116,659.82 : x
  2. Step 2: Convert to fraction form
    207,303.96/286,076 = 116,659.82/x
  3. Step 3: Cross multiply
    207,303.96x = 286,076 × 116,659.82
  4. Step 4: Simplify right side
    207,303.96x = 33,373,574,666.32
  5. Step 5: Solve for x
    x = 33,373,574,666.32/207,303.96
  6. Step 6: Final answer
    x = 160,988.60

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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.