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Finding the Fourth Proportional to 145,461.19, 218,189.59 and 65,442.65

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Solution

The fourth proportional to 145,461.19, 218,189.59 and 65,442.65 is: 98,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,461.19 : 218,189.59 = 65,442.65 : x
  2. Step 2: Convert to fraction form
    145,461.19/218,189.59 = 65,442.65/x
  3. Step 3: Cross multiply
    145,461.19x = 218,189.59 × 65,442.65
  4. Step 4: Simplify right side
    145,461.19x = 14,278,903,881.07
  5. Step 5: Solve for x
    x = 14,278,903,881.07/145,461.19
  6. Step 6: Final answer
    x = 98,162.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.