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Finding the Fourth Proportional to 402,038.03, 602,923.16 and 162,089.96

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Solution

The fourth proportional to 402,038.03, 602,923.16 and 162,089.96 is: 243,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,038.03 : 602,923.16 = 162,089.96 : x
  2. Step 2: Convert to fraction form
    402,038.03/602,923.16 = 162,089.96/x
  3. Step 3: Cross multiply
    402,038.03x = 602,923.16 × 162,089.96
  4. Step 4: Simplify right side
    402,038.03x = 97,727,788,278.08
  5. Step 5: Solve for x
    x = 97,727,788,278.08/402,038.03
  6. Step 6: Final answer
    x = 243,080.95

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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.