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Finding the Fourth Proportional to 162,038.50, 243,045.51 and 56,864.50

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Solution

The fourth proportional to 162,038.50, 243,045.51 and 56,864.50 is: 85,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,038.50 : 243,045.51 = 56,864.50 : x
  2. Step 2: Convert to fraction form
    162,038.50/243,045.51 = 56,864.50/x
  3. Step 3: Cross multiply
    162,038.50x = 243,045.51 × 56,864.50
  4. Step 4: Simplify right side
    162,038.50x = 13,820,661,403.40
  5. Step 5: Solve for x
    x = 13,820,661,403.40/162,038.50
  6. Step 6: Final answer
    x = 85,292.45

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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.