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Finding the Fourth Proportional to 232,632.89, 321,045 and 130,653.08

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Solution

The fourth proportional to 232,632.89, 321,045 and 130,653.08 is: 180,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,632.89 : 321,045 = 130,653.08 : x
  2. Step 2: Convert to fraction form
    232,632.89/321,045 = 130,653.08/x
  3. Step 3: Cross multiply
    232,632.89x = 321,045 × 130,653.08
  4. Step 4: Simplify right side
    232,632.89x = 41,945,518,068.60
  5. Step 5: Solve for x
    x = 41,945,518,068.60/232,632.89
  6. Step 6: Final answer
    x = 180,307.77

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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.