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Finding the Fourth Proportional to 180,971.68, 249,763.06 and 104,490.64

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Solution

The fourth proportional to 180,971.68, 249,763.06 and 104,490.64 is: 144,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,971.68 : 249,763.06 = 104,490.64 : x
  2. Step 2: Convert to fraction form
    180,971.68/249,763.06 = 104,490.64/x
  3. Step 3: Cross multiply
    180,971.68x = 249,763.06 × 104,490.64
  4. Step 4: Simplify right side
    180,971.68x = 26,097,902,038.74
  5. Step 5: Solve for x
    x = 26,097,902,038.74/180,971.68
  6. Step 6: Final answer
    x = 144,209.87

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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.