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Finding the Fourth Proportional to 223,312.80, 334,580.40 and 144,386.40

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Solution

The fourth proportional to 223,312.80, 334,580.40 and 144,386.40 is: 216,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,312.80 : 334,580.40 = 144,386.40 : x
  2. Step 2: Convert to fraction form
    223,312.80/334,580.40 = 144,386.40/x
  3. Step 3: Cross multiply
    223,312.80x = 334,580.40 × 144,386.40
  4. Step 4: Simplify right side
    223,312.80x = 48,308,859,466.56
  5. Step 5: Solve for x
    x = 48,308,859,466.56/223,312.80
  6. Step 6: Final answer
    x = 216,328.22

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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.