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Finding the Fourth Proportional to 357,032.18, 535,140.02 and 146,409.50

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Solution

The fourth proportional to 357,032.18, 535,140.02 and 146,409.50 is: 219,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,032.18 : 535,140.02 = 146,409.50 : x
  2. Step 2: Convert to fraction form
    357,032.18/535,140.02 = 146,409.50/x
  3. Step 3: Cross multiply
    357,032.18x = 535,140.02 × 146,409.50
  4. Step 4: Simplify right side
    357,032.18x = 78,349,582,758.19
  5. Step 5: Solve for x
    x = 78,349,582,758.19/357,032.18
  6. Step 6: Final answer
    x = 219,446.84

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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.