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Finding the Fourth Proportional to 268,492.90, 370,521.54 and 147,641.98

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Solution

The fourth proportional to 268,492.90, 370,521.54 and 147,641.98 is: 203,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,492.90 : 370,521.54 = 147,641.98 : x
  2. Step 2: Convert to fraction form
    268,492.90/370,521.54 = 147,641.98/x
  3. Step 3: Cross multiply
    268,492.90x = 370,521.54 × 147,641.98
  4. Step 4: Simplify right side
    268,492.90x = 54,704,533,798.25
  5. Step 5: Solve for x
    x = 54,704,533,798.25/268,492.90
  6. Step 6: Final answer
    x = 203,746.67

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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.