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Finding the Fourth Proportional to 130,485.76, 180,157.09 and 100,217

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Solution

The fourth proportional to 130,485.76, 180,157.09 and 100,217 is: 138,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,485.76 : 180,157.09 = 100,217 : x
  2. Step 2: Convert to fraction form
    130,485.76/180,157.09 = 100,217/x
  3. Step 3: Cross multiply
    130,485.76x = 180,157.09 × 100,217
  4. Step 4: Simplify right side
    130,485.76x = 18,054,803,088.53
  5. Step 5: Solve for x
    x = 18,054,803,088.53/130,485.76
  6. Step 6: Final answer
    x = 138,366.08

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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.