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Finding the Fourth Proportional to 130,013, 179,417.94 and 70,397

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Solution

The fourth proportional to 130,013, 179,417.94 and 70,397 is: 97,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,013 : 179,417.94 = 70,397 : x
  2. Step 2: Convert to fraction form
    130,013/179,417.94 = 70,397/x
  3. Step 3: Cross multiply
    130,013x = 179,417.94 × 70,397
  4. Step 4: Simplify right side
    130,013x = 12,630,484,722.18
  5. Step 5: Solve for x
    x = 12,630,484,722.18/130,013
  6. Step 6: Final answer
    x = 97,147.86

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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.