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Finding the Fourth Proportional to 180,493.50, 249,085.06 and 98,829.50

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Solution

The fourth proportional to 180,493.50, 249,085.06 and 98,829.50 is: 136,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,493.50 : 249,085.06 = 98,829.50 : x
  2. Step 2: Convert to fraction form
    180,493.50/249,085.06 = 98,829.50/x
  3. Step 3: Cross multiply
    180,493.50x = 249,085.06 × 98,829.50
  4. Step 4: Simplify right side
    180,493.50x = 24,616,951,937.27
  5. Step 5: Solve for x
    x = 24,616,951,937.27/180,493.50
  6. Step 6: Final answer
    x = 136,386.92

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1.5x scale

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.