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Finding the Fourth Proportional to 180,978.64, 249,776.33 and 104,482.44

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Solution

The fourth proportional to 180,978.64, 249,776.33 and 104,482.44 is: 144,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,978.64 : 249,776.33 = 104,482.44 : x
  2. Step 2: Convert to fraction form
    180,978.64/249,776.33 = 104,482.44/x
  3. Step 3: Cross multiply
    180,978.64x = 249,776.33 × 104,482.44
  4. Step 4: Simplify right side
    180,978.64x = 26,097,239,890.23
  5. Step 5: Solve for x
    x = 26,097,239,890.23/180,978.64
  6. Step 6: Final answer
    x = 144,200.67

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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.