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Finding the Fourth Proportional to 458,068.51, 687,106.41 and 188,127.10

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Solution

The fourth proportional to 458,068.51, 687,106.41 and 188,127.10 is: 282,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,068.51 : 687,106.41 = 188,127.10 : x
  2. Step 2: Convert to fraction form
    458,068.51/687,106.41 = 188,127.10/x
  3. Step 3: Cross multiply
    458,068.51x = 687,106.41 × 188,127.10
  4. Step 4: Simplify right side
    458,068.51x = 129,263,336,304.71
  5. Step 5: Solve for x
    x = 129,263,336,304.71/458,068.51
  6. Step 6: Final answer
    x = 282,192.15

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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.