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Finding the Fourth Proportional to 130,509.56, 180,098.38 and 70,892.28

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Solution

The fourth proportional to 130,509.56, 180,098.38 and 70,892.28 is: 97,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,509.56 : 180,098.38 = 70,892.28 : x
  2. Step 2: Convert to fraction form
    130,509.56/180,098.38 = 70,892.28/x
  3. Step 3: Cross multiply
    130,509.56x = 180,098.38 × 70,892.28
  4. Step 4: Simplify right side
    130,509.56x = 12,767,584,782.51
  5. Step 5: Solve for x
    x = 12,767,584,782.51/130,509.56
  6. Step 6: Final answer
    x = 97,828.73

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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.