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Finding the Fourth Proportional to 180,765.54, 249,326.91 and 119,440.70

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Solution

The fourth proportional to 180,765.54, 249,326.91 and 119,440.70 is: 164,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,765.54 : 249,326.91 = 119,440.70 : x
  2. Step 2: Convert to fraction form
    180,765.54/249,326.91 = 119,440.70/x
  3. Step 3: Cross multiply
    180,765.54x = 249,326.91 × 119,440.70
  4. Step 4: Simplify right side
    180,765.54x = 29,779,779,412.60
  5. Step 5: Solve for x
    x = 29,779,779,412.60/180,765.54
  6. Step 6: Final answer
    x = 164,742.57

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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.