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Finding the Fourth Proportional to 145,630.40, 218,434.80 and 61,368.80

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Solution

The fourth proportional to 145,630.40, 218,434.80 and 61,368.80 is: 92,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,630.40 : 218,434.80 = 61,368.80 : x
  2. Step 2: Convert to fraction form
    145,630.40/218,434.80 = 61,368.80/x
  3. Step 3: Cross multiply
    145,630.40x = 218,434.80 × 61,368.80
  4. Step 4: Simplify right side
    145,630.40x = 13,405,081,554.24
  5. Step 5: Solve for x
    x = 13,405,081,554.24/145,630.40
  6. Step 6: Final answer
    x = 92,048.65

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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.