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Finding the Fourth Proportional to 130,688.64, 180,350.35 and 74,100.02

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Solution

The fourth proportional to 130,688.64, 180,350.35 and 74,100.02 is: 102,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,688.64 : 180,350.35 = 74,100.02 : x
  2. Step 2: Convert to fraction form
    130,688.64/180,350.35 = 74,100.02/x
  3. Step 3: Cross multiply
    130,688.64x = 180,350.35 × 74,100.02
  4. Step 4: Simplify right side
    130,688.64x = 13,363,963,455.01
  5. Step 5: Solve for x
    x = 13,363,963,455.01/130,688.64
  6. Step 6: Final answer
    x = 102,258.03

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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.