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Finding the Fourth Proportional to 174,695.84, 262,041.32 and 99,655.84

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Solution

The fourth proportional to 174,695.84, 262,041.32 and 99,655.84 is: 149,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,695.84 : 262,041.32 = 99,655.84 : x
  2. Step 2: Convert to fraction form
    174,695.84/262,041.32 = 99,655.84/x
  3. Step 3: Cross multiply
    174,695.84x = 262,041.32 × 99,655.84
  4. Step 4: Simplify right side
    174,695.84x = 26,113,947,859.31
  5. Step 5: Solve for x
    x = 26,113,947,859.31/174,695.84
  6. Step 6: Final answer
    x = 149,482.37

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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.