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Finding the Fourth Proportional to 154,667.40, 232,001.10 and 152,075.40

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Solution

The fourth proportional to 154,667.40, 232,001.10 and 152,075.40 is: 228,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,667.40 : 232,001.10 = 152,075.40 : x
  2. Step 2: Convert to fraction form
    154,667.40/232,001.10 = 152,075.40/x
  3. Step 3: Cross multiply
    154,667.40x = 232,001.10 × 152,075.40
  4. Step 4: Simplify right side
    154,667.40x = 35,281,660,082.94
  5. Step 5: Solve for x
    x = 35,281,660,082.94/154,667.40
  6. Step 6: Final answer
    x = 228,113.10

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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.