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Finding the Fourth Proportional to 130,896, 180,636.48 and 71,280

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Solution

The fourth proportional to 130,896, 180,636.48 and 71,280 is: 98,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,896 : 180,636.48 = 71,280 : x
  2. Step 2: Convert to fraction form
    130,896/180,636.48 = 71,280/x
  3. Step 3: Cross multiply
    130,896x = 180,636.48 × 71,280
  4. Step 4: Simplify right side
    130,896x = 12,875,768,294.40
  5. Step 5: Solve for x
    x = 12,875,768,294.40/130,896
  6. Step 6: Final answer
    x = 98,366.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.