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Finding the Fourth Proportional to 117,461.97, 162,097.16 and 63,746.53

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Solution

The fourth proportional to 117,461.97, 162,097.16 and 63,746.53 is: 87,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,461.97 : 162,097.16 = 63,746.53 : x
  2. Step 2: Convert to fraction form
    117,461.97/162,097.16 = 63,746.53/x
  3. Step 3: Cross multiply
    117,461.97x = 162,097.16 × 63,746.53
  4. Step 4: Simplify right side
    117,461.97x = 10,333,130,748.88
  5. Step 5: Solve for x
    x = 10,333,130,748.88/117,461.97
  6. Step 6: Final answer
    x = 87,970.01

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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.