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Finding the Fourth Proportional to 232,430.64, 348,793.44 and 99,312

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Solution

The fourth proportional to 232,430.64, 348,793.44 and 99,312 is: 149,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,430.64 : 348,793.44 = 99,312 : x
  2. Step 2: Convert to fraction form
    232,430.64/348,793.44 = 99,312/x
  3. Step 3: Cross multiply
    232,430.64x = 348,793.44 × 99,312
  4. Step 4: Simplify right side
    232,430.64x = 34,639,374,113.28
  5. Step 5: Solve for x
    x = 34,639,374,113.28/232,430.64
  6. Step 6: Final answer
    x = 149,031.01

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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.