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Finding the Fourth Proportional to 116,097.75, 160,232.40 and 70,802.00

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Solution

The fourth proportional to 116,097.75, 160,232.40 and 70,802.00 is: 97,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.75 : 160,232.40 = 70,802.00 : x
  2. Step 2: Convert to fraction form
    116,097.75/160,232.40 = 70,802.00/x
  3. Step 3: Cross multiply
    116,097.75x = 160,232.40 × 70,802.00
  4. Step 4: Simplify right side
    116,097.75x = 11,344,774,785.38
  5. Step 5: Solve for x
    x = 11,344,774,785.38/116,097.75
  6. Step 6: Final answer
    x = 97,717.44

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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.