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Finding the Fourth Proportional to 233,730, 322,547.40 and 133,186.32

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Solution

The fourth proportional to 233,730, 322,547.40 and 133,186.32 is: 183,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,730 : 322,547.40 = 133,186.32 : x
  2. Step 2: Convert to fraction form
    233,730/322,547.40 = 133,186.32/x
  3. Step 3: Cross multiply
    233,730x = 322,547.40 × 133,186.32
  4. Step 4: Simplify right side
    233,730x = 42,958,901,231.57
  5. Step 5: Solve for x
    x = 42,958,901,231.57/233,730
  6. Step 6: Final answer
    x = 183,797.12

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