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Finding the Fourth Proportional to 157,038.16, 216,714.76 and 89,970

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Solution

The fourth proportional to 157,038.16, 216,714.76 and 89,970 is: 124,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,038.16 : 216,714.76 = 89,970 : x
  2. Step 2: Convert to fraction form
    157,038.16/216,714.76 = 89,970/x
  3. Step 3: Cross multiply
    157,038.16x = 216,714.76 × 89,970
  4. Step 4: Simplify right side
    157,038.16x = 19,497,826,957.20
  5. Step 5: Solve for x
    x = 19,497,826,957.20/157,038.16
  6. Step 6: Final answer
    x = 124,159.80

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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.