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Finding the Fourth Proportional to 112,196.16, 154,823.76 and 64,416

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Solution

The fourth proportional to 112,196.16, 154,823.76 and 64,416 is: 88,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,196.16 : 154,823.76 = 64,416 : x
  2. Step 2: Convert to fraction form
    112,196.16/154,823.76 = 64,416/x
  3. Step 3: Cross multiply
    112,196.16x = 154,823.76 × 64,416
  4. Step 4: Simplify right side
    112,196.16x = 9,973,127,324.16
  5. Step 5: Solve for x
    x = 9,973,127,324.16/112,196.16
  6. Step 6: Final answer
    x = 88,890.10

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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.