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Finding the Fourth Proportional to 166,258.16, 249,465 and 96,196.40

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Solution

The fourth proportional to 166,258.16, 249,465 and 96,196.40 is: 144,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,258.16 : 249,465 = 96,196.40 : x
  2. Step 2: Convert to fraction form
    166,258.16/249,465 = 96,196.40/x
  3. Step 3: Cross multiply
    166,258.16x = 249,465 × 96,196.40
  4. Step 4: Simplify right side
    166,258.16x = 23,997,634,926
  5. Step 5: Solve for x
    x = 23,997,634,926/166,258.16
  6. Step 6: Final answer
    x = 144,339.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.