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Finding the Fourth Proportional to 268,762.30, 370,894.74 and 154,038.46

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Solution

The fourth proportional to 268,762.30, 370,894.74 and 154,038.46 is: 212,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,762.30 : 370,894.74 = 154,038.46 : x
  2. Step 2: Convert to fraction form
    268,762.30/370,894.74 = 154,038.46/x
  3. Step 3: Cross multiply
    268,762.30x = 370,894.74 × 154,038.46
  4. Step 4: Simplify right side
    268,762.30x = 57,132,054,571.70
  5. Step 5: Solve for x
    x = 57,132,054,571.70/268,762.30
  6. Step 6: Final answer
    x = 212,574.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.