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Finding the Fourth Proportional to 214,706.16, 322,070.51 and 64,942.63

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Solution

The fourth proportional to 214,706.16, 322,070.51 and 64,942.63 is: 97,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,706.16 : 322,070.51 = 64,942.63 : x
  2. Step 2: Convert to fraction form
    214,706.16/322,070.51 = 64,942.63/x
  3. Step 3: Cross multiply
    214,706.16x = 322,070.51 × 64,942.63
  4. Step 4: Simplify right side
    214,706.16x = 20,916,105,322.02
  5. Step 5: Solve for x
    x = 20,916,105,322.02/214,706.16
  6. Step 6: Final answer
    x = 97,417.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.