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Finding the Fourth Proportional to 180,684, 249,343.92 and 101,196

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Solution

The fourth proportional to 180,684, 249,343.92 and 101,196 is: 139,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,684 : 249,343.92 = 101,196 : x
  2. Step 2: Convert to fraction form
    180,684/249,343.92 = 101,196/x
  3. Step 3: Cross multiply
    180,684x = 249,343.92 × 101,196
  4. Step 4: Simplify right side
    180,684x = 25,232,607,328.32
  5. Step 5: Solve for x
    x = 25,232,607,328.32/180,684
  6. Step 6: Final answer
    x = 139,650.48

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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.