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Finding the Fourth Proportional to 284,129.12, 392,096.38 and 156,804.68

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Solution

The fourth proportional to 284,129.12, 392,096.38 and 156,804.68 is: 216,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,129.12 : 392,096.38 = 156,804.68 : x
  2. Step 2: Convert to fraction form
    284,129.12/392,096.38 = 156,804.68/x
  3. Step 3: Cross multiply
    284,129.12x = 392,096.38 × 156,804.68
  4. Step 4: Simplify right side
    284,129.12x = 61,482,547,395.06
  5. Step 5: Solve for x
    x = 61,482,547,395.06/284,129.12
  6. Step 6: Final answer
    x = 216,389.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.