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Finding the Fourth Proportional to 180,793, 249,494.34 and 105,341.50

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Solution

The fourth proportional to 180,793, 249,494.34 and 105,341.50 is: 145,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,793 : 249,494.34 = 105,341.50 : x
  2. Step 2: Convert to fraction form
    180,793/249,494.34 = 105,341.50/x
  3. Step 3: Cross multiply
    180,793x = 249,494.34 × 105,341.50
  4. Step 4: Simplify right side
    180,793x = 26,282,108,017.11
  5. Step 5: Solve for x
    x = 26,282,108,017.11/180,793
  6. Step 6: Final answer
    x = 145,371.27

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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.