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Finding the Fourth Proportional to 130,469, 180,047.22 and 70,853

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Solution

The fourth proportional to 130,469, 180,047.22 and 70,853 is: 97,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,469 : 180,047.22 = 70,853 : x
  2. Step 2: Convert to fraction form
    130,469/180,047.22 = 70,853/x
  3. Step 3: Cross multiply
    130,469x = 180,047.22 × 70,853
  4. Step 4: Simplify right side
    130,469x = 12,756,885,678.66
  5. Step 5: Solve for x
    x = 12,756,885,678.66/130,469
  6. Step 6: Final answer
    x = 97,777.14

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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.