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Finding the Fourth Proportional to 130,552, 180,162.24 and 70,936

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Solution

The fourth proportional to 130,552, 180,162.24 and 70,936 is: 97,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,552 : 180,162.24 = 70,936 : x
  2. Step 2: Convert to fraction form
    130,552/180,162.24 = 70,936/x
  3. Step 3: Cross multiply
    130,552x = 180,162.24 × 70,936
  4. Step 4: Simplify right side
    130,552x = 12,779,988,656.64
  5. Step 5: Solve for x
    x = 12,779,988,656.64/130,552
  6. Step 6: Final answer
    x = 97,891.94

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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.