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Finding the Fourth Proportional to 357,038.18, 535,149.02 and 146,415.50

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Solution

The fourth proportional to 357,038.18, 535,149.02 and 146,415.50 is: 219,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,038.18 : 535,149.02 = 146,415.50 : x
  2. Step 2: Convert to fraction form
    357,038.18/535,149.02 = 146,415.50/x
  3. Step 3: Cross multiply
    357,038.18x = 535,149.02 × 146,415.50
  4. Step 4: Simplify right side
    357,038.18x = 78,354,111,337.81
  5. Step 5: Solve for x
    x = 78,354,111,337.81/357,038.18
  6. Step 6: Final answer
    x = 219,455.83

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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.