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Finding the Fourth Proportional to 402,232.08, 603,347.59 and 102,712.51

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Solution

The fourth proportional to 402,232.08, 603,347.59 and 102,712.51 is: 154,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,232.08 : 603,347.59 = 102,712.51 : x
  2. Step 2: Convert to fraction form
    402,232.08/603,347.59 = 102,712.51/x
  3. Step 3: Cross multiply
    402,232.08x = 603,347.59 × 102,712.51
  4. Step 4: Simplify right side
    402,232.08x = 61,971,343,606.20
  5. Step 5: Solve for x
    x = 61,971,343,606.20/402,232.08
  6. Step 6: Final answer
    x = 154,068.63

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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.