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Finding the Fourth Proportional to 286,534.66, 395,316.81 and 163,937.50

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Solution

The fourth proportional to 286,534.66, 395,316.81 and 163,937.50 is: 226,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,534.66 : 395,316.81 = 163,937.50 : x
  2. Step 2: Convert to fraction form
    286,534.66/395,316.81 = 163,937.50/x
  3. Step 3: Cross multiply
    286,534.66x = 395,316.81 × 163,937.50
  4. Step 4: Simplify right side
    286,534.66x = 64,807,249,539.38
  5. Step 5: Solve for x
    x = 64,807,249,539.38/286,534.66
  6. Step 6: Final answer
    x = 226,175.95

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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.