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Finding the Fourth Proportional to 117,461.46, 162,097.24 and 63,746.46

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Solution

The fourth proportional to 117,461.46, 162,097.24 and 63,746.46 is: 87,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,461.46 : 162,097.24 = 63,746.46 : x
  2. Step 2: Convert to fraction form
    117,461.46/162,097.24 = 63,746.46/x
  3. Step 3: Cross multiply
    117,461.46x = 162,097.24 × 63,746.46
  4. Step 4: Simplify right side
    117,461.46x = 10,333,125,225.77
  5. Step 5: Solve for x
    x = 10,333,125,225.77/117,461.46
  6. Step 6: Final answer
    x = 87,970.35

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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.