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Finding the Fourth Proportional to 180,504, 249,095.52 and 101,016

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Solution

The fourth proportional to 180,504, 249,095.52 and 101,016 is: 139,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,504 : 249,095.52 = 101,016 : x
  2. Step 2: Convert to fraction form
    180,504/249,095.52 = 101,016/x
  3. Step 3: Cross multiply
    180,504x = 249,095.52 × 101,016
  4. Step 4: Simplify right side
    180,504x = 25,162,633,048.32
  5. Step 5: Solve for x
    x = 25,162,633,048.32/180,504
  6. Step 6: Final answer
    x = 139,402.08

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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.