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Finding the Fourth Proportional to 233,673.61, 322,492.35 and 138,211.06

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Solution

The fourth proportional to 233,673.61, 322,492.35 and 138,211.06 is: 190,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,673.61 : 322,492.35 = 138,211.06 : x
  2. Step 2: Convert to fraction form
    233,673.61/322,492.35 = 138,211.06/x
  3. Step 3: Cross multiply
    233,673.61x = 322,492.35 × 138,211.06
  4. Step 4: Simplify right side
    233,673.61x = 44,572,009,535.39
  5. Step 5: Solve for x
    x = 44,572,009,535.39/233,673.61
  6. Step 6: Final answer
    x = 190,744.73

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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.