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Finding the Fourth Proportional to 248,003.84, 342,254.16 and 152,492.09

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Solution

The fourth proportional to 248,003.84, 342,254.16 and 152,492.09 is: 210,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,003.84 : 342,254.16 = 152,492.09 : x
  2. Step 2: Convert to fraction form
    248,003.84/342,254.16 = 152,492.09/x
  3. Step 3: Cross multiply
    248,003.84x = 342,254.16 × 152,492.09
  4. Step 4: Simplify right side
    248,003.84x = 52,191,050,458.32
  5. Step 5: Solve for x
    x = 52,191,050,458.32/248,003.84
  6. Step 6: Final answer
    x = 210,444.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.