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Finding the Fourth Proportional to 130,951.42, 180,733.44 and 77,242.30

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Solution

The fourth proportional to 130,951.42, 180,733.44 and 77,242.30 is: 106,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,951.42 : 180,733.44 = 77,242.30 : x
  2. Step 2: Convert to fraction form
    130,951.42/180,733.44 = 77,242.30/x
  3. Step 3: Cross multiply
    130,951.42x = 180,733.44 × 77,242.30
  4. Step 4: Simplify right side
    130,951.42x = 13,960,266,592.51
  5. Step 5: Solve for x
    x = 13,960,266,592.51/130,951.42
  6. Step 6: Final answer
    x = 106,606.45

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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.