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Finding the Fourth Proportional to 130,470, 180,048.72 and 70,854

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Solution

The fourth proportional to 130,470, 180,048.72 and 70,854 is: 97,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,470 : 180,048.72 = 70,854 : x
  2. Step 2: Convert to fraction form
    130,470/180,048.72 = 70,854/x
  3. Step 3: Cross multiply
    130,470x = 180,048.72 × 70,854
  4. Step 4: Simplify right side
    130,470x = 12,757,172,006.88
  5. Step 5: Solve for x
    x = 12,757,172,006.88/130,470
  6. Step 6: Final answer
    x = 97,778.59

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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.