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Finding the Fourth Proportional to 173,870.40, 260,222.40 and 152,875.20

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Solution

The fourth proportional to 173,870.40, 260,222.40 and 152,875.20 is: 228,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,870.40 : 260,222.40 = 152,875.20 : x
  2. Step 2: Convert to fraction form
    173,870.40/260,222.40 = 152,875.20/x
  3. Step 3: Cross multiply
    173,870.40x = 260,222.40 × 152,875.20
  4. Step 4: Simplify right side
    173,870.40x = 39,781,551,444.48
  5. Step 5: Solve for x
    x = 39,781,551,444.48/173,870.40
  6. Step 6: Final answer
    x = 228,800.02

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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.