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Finding the Fourth Proportional to 180,505.29, 249,096.44 and 97,719.06

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Solution

The fourth proportional to 180,505.29, 249,096.44 and 97,719.06 is: 134,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,505.29 : 249,096.44 = 97,719.06 : x
  2. Step 2: Convert to fraction form
    180,505.29/249,096.44 = 97,719.06/x
  3. Step 3: Cross multiply
    180,505.29x = 249,096.44 × 97,719.06
  4. Step 4: Simplify right side
    180,505.29x = 24,341,469,966.15
  5. Step 5: Solve for x
    x = 24,341,469,966.15/180,505.29
  6. Step 6: Final answer
    x = 134,851.84

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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.