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Finding the Fourth Proportional to 251,004, 346,387.95 and 137,829.18

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Solution

The fourth proportional to 251,004, 346,387.95 and 137,829.18 is: 190,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,004 : 346,387.95 = 137,829.18 : x
  2. Step 2: Convert to fraction form
    251,004/346,387.95 = 137,829.18/x
  3. Step 3: Cross multiply
    251,004x = 346,387.95 × 137,829.18
  4. Step 4: Simplify right side
    251,004x = 47,742,367,110.38
  5. Step 5: Solve for x
    x = 47,742,367,110.38/251,004
  6. Step 6: Final answer
    x = 190,205.60

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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.