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Finding the Fourth Proportional to 180,852.18, 249,582.18 and 100,275

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Solution

The fourth proportional to 180,852.18, 249,582.18 and 100,275 is: 138,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,852.18 : 249,582.18 = 100,275 : x
  2. Step 2: Convert to fraction form
    180,852.18/249,582.18 = 100,275/x
  3. Step 3: Cross multiply
    180,852.18x = 249,582.18 × 100,275
  4. Step 4: Simplify right side
    180,852.18x = 25,026,853,099.50
  5. Step 5: Solve for x
    x = 25,026,853,099.50/180,852.18
  6. Step 6: Final answer
    x = 138,382.92

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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.